A fixed point theorem in partially ordered sets and some applications to matrix equations
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Publication:4452242
DOI10.1090/S0002-9939-03-07220-4zbMath1060.47056OpenAlexW2145364632MaRDI QIDQ4452242
Martine C. B. Reurings, André C. M. Ran
Publication date: 12 February 2004
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07220-4
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Matrix equations and identities (15A24)
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spaces with application to Volterra type integral equation ⋮ Monotone generalized nonlinear contractions in partially ordered metric spaces ⋮ Solvability and sensitivity analysis of polynomial matrix equation \(X^s + A^TX^tA = Q\) ⋮ Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces ⋮ IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem ⋮ Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces ⋮ Global attractivity results for mixed-monotone mappings in partially ordered complete metric spaces ⋮ Coupled fixed point theorems for \(\phi\)-contractive mixed monotone mappings in partially ordered metric spaces ⋮ Monotone generalized contractions in partially ordered probabilistic metric spaces ⋮ Fixed point results for dualistic contractions with an application ⋮ Best proximity point for the sum of two non-self-operators ⋮ Unnamed Item ⋮ Remarks on asymptotic regularity and fixed points ⋮ A novel approach of graphical rectangular $b$-metric spaces with an application to the vibrations of a vertical heavy hanging cable ⋮ Coupled coincidence point and fixed point results for mixed monotone mappings and an application to integro-differential equations ⋮ Observations on relation-theoretic coincidence theorems under Boyd-Wong type nonlinear contractions ⋮ Fixed point of set-valued graph contractive mappings ⋮ Coupled coincidence point results for compatible mappings in partially ordered probabilistic metric spaces ⋮ Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations ⋮ Some fixed point theorems for almost \((\mathrm{GF}, \delta_b)\)-contractions and application ⋮ A generalized contraction principle under \(w\)-distance for a partially ordered metric space ⋮ Coincidence and fixed points of multivalued \(F\)-contractions in generalized metric space with application ⋮ Fixed point theorems for set-valued \(G\)-contractions in a graphical convex metric space with applications ⋮ Fixed point results for non-self nonlinear graphic contractions in complete metric spaces with applications ⋮ New algorithm for finding the solution of nonlinear matrix equations based on the weak condition with relation-theoretic \(F\)-contractions ⋮ On stationary points of multivalued strongly contractive mappings in partially ordered ultrametric spaces and non-Archimedean normed spaces ⋮ Fixed point theorems for self and non-self \(F\)-contractions in metric spaces endowed with a graph ⋮ An original coupled coincidence point result for a pair of mappings without MMP ⋮ On coupled coincidence point theorems on partially ordered \(G\)-metric spaces without mixed \(g\)-monotone ⋮ Generalized \(\alpha\)-\(\psi\)-contractive type mappings of integral type and related fixed point theorems ⋮ Triple fixed point theorems via \(\alpha\)-series in partially ordered metric spaces ⋮ A discussion on generalized almost contractions via rational expressions in partially ordered metric spaces ⋮ Best proximity points of implicit relation type modified \(\alpha^3\)-proximal contractions ⋮ Remarks on monotone multivalued mappings on a metric space with a graph ⋮ Delay differential equations: a partially ordered sets approach in vectorial metric spaces ⋮ Some fixed/coincidence point theorems under \((\psi, \varphi)\)-contractivity conditions without an underlying metric structure ⋮ Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph ⋮ New extension of some fixed point results in complete metric spaces ⋮ Related fixed point theorems in partially ordered \(b\)-metric spaces and applications to integral equations ⋮ Weak KKH-Caristi type expansion on complete \(b\)-metric and \(b\)-ordered metric spaces and its consequences ⋮ Coincidence points of relational \(\psi\)-contractions and an application ⋮ On Geraghty-Wardowski type contractions and an application ⋮ Fixed point results on a metric space endowed with a finite number of graphs and applications ⋮ A fixed point problem with constraint inequalities via an implicit contraction ⋮ Fixed point theorems for \((\psi, \beta)\)-Geraghty contraction type maps in ordered metric spaces and some applications to integral and ordinary differential equations ⋮ Fixed point results for generalized \((\psi, \phi)\)-weak contractions with an application to system of non-linear integral equations ⋮ Unique fixed point results on closed ball for dislocated quasi \(G\)-metric spaces ⋮ Existence and uniqueness for a first-order periodic differential problem via fixed point results ⋮ On weakly commuting set-valued mappings on a domain of sets endowed with directed graph ⋮ Graphical metric space: a generalized setting in fixed point theory ⋮ Common coupled fixed point theorems on \(C^\star\)-algebra-valued partial metric spaces ⋮ Some fixed point theorems for Boyd and Wong type contraction mapping in ordered partial metric spaces with an application ⋮ Implicit Contractive Maps in Ordered Metric Spaces ⋮ Some iterative methods for the largest positive definite solution to a class of nonlinear matrix equation ⋮ \(\alpha\)-admissible mapping in \(C^*\)-algebra-valued b-metric spaces and fixed point theorems ⋮ On nonlinear fuzzy set-valued \(\Theta\)-contractions with applications ⋮ Ordered uniform convexity in ordered convex metric spaces with an application to fixed point theory ⋮ Fixed point results for an almost generalized \(\alpha \)-admissible \(Z\)-contraction in the setting of partially ordered b-metric spaces ⋮ Strong convergence theorem for finding a common solution of convex minimization and fixed point problems in \(\mathrm{CAT}(0)\) spaces ⋮ Fixed-point accelerated iterative method to solve nonlinear matrix equation \(X - \sum\limits_{i = 1}^m A_i^\ast X^{-1}A_i = Q^\ast\) ⋮ Fixed points for multivalued Suzuki type \((\theta, \mathscr{R})\)-contraction mapping with applications ⋮ Convergence analysis of an accelerated iteration for monotone generalized \(\alpha\)-nonexpansive mappings with a partial order ⋮ Hybrid coupled fixed point theorems in metric spaces with applications ⋮ End point theorems of multivalued operators without continuity satisfying hybrid inequality under two different sets of conditions ⋮ Some new fixed point results under constraint inequalities in comparable complete partially ordered Menger PM-spaces ⋮ Coincidence and fixed point theorems for generalized \((\psi,\phi)\)-weak nonlinear contraction in ordered \(K\)-metric spaces ⋮ Coupled fixed point theorems for mixed monotone mappings and an application to integral equations ⋮ Coupled fixed point results for \((\psi,\phi)\)-weakly contractive condition in ordered partial metric spaces ⋮ Fixed point results for interpolative \(\psi\)-Hardy-Rogers type contraction mappings in quasi-partial \(b\)-metric space with an applications ⋮ A coupled coincidence point theorem in partially ordered metric spaces with an implicit relation ⋮ Meir-Keeler type contractions in partially ordered \(G\)-metric spaces ⋮ Fixed point results for \(G^m\)-Meir-Keeler contractive and \(G\)-\(({\alpha},{\psi})\)-Meir-Keeler contractive mappings ⋮ Best proximity points of contractive mappings on a metric space with a graph and applications ⋮ Common Fixed Points of Weakly Commuting Multivalued Mappings on a Domain of Sets Endowed with Directed Graph ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Common fixed points of a pair of Hardy Rogers type mappings on a closed ball in ordered dislocated metric spaces ⋮ \(n\)-tuplet coincidence point theorems in intuitionistic fuzzy normed spaces ⋮ Largest and least fixed point theorems of increasing mappings in partially ordered metric spaces ⋮ Coupled common fixed point theorems for a pair of commuting mappings in partially ordered G-metric spaces ⋮ Fixed point theorems for weakly contractive mappings in partially ordered metric-like spaces ⋮ Discussion on some coupled fixed point theorems ⋮ Some existence and uniqueness theorems on ordered metric spaces via generalized distances ⋮ Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces ⋮ Coupled and tripled fixed point theory in partially ordered metric spaces with application to initial value problem ⋮ Common fixed point theorems for weakly isotone increasing mappings in ordered partial metric spaces ⋮ On two classes of mixed-type Lyapunov equations ⋮ Existence of Nonlinear Problems: An Applicative and Computational Approach ⋮ Graphic Contraction Principle and Applications ⋮ PPF Dependent Fixed Points in Razumikhin Metrical Chains ⋮ Sadovskii-type fixed point results for edge-preserving mappings ⋮ Nadler-Liu Functional Contractions in Metric Spaces ⋮ Unnamed Item ⋮ Fixed point theorems for generalized contractions in ordered metric spaces ⋮ Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations ⋮ Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations ⋮ Fixed point theorems in partially ordered metric spaces and applications ⋮ Probabilistic \(G\)-contractions ⋮ A note on `Coupled fixed point theorems for \(\alpha\)-\(\psi\)-contractive-type mappings in partially ordered metric spaces' ⋮ Nonlinear mixed monotone-generalized contractions on partially ordered modified intuitionistic fuzzy metric spaces with application to integral equations ⋮ Generalized \(n\)-tupled fixed point theorems for nonlinear contractions ⋮ The positive definite solution to a nonlinear matrix equation ⋮ Properties of Fixed Point Sets of Monotone Nonexpansive Mappings in Banach Spaces ⋮ Best proximity points for generalized proximal weak contractions satisfying rational expression on ordered metric spaces ⋮ Fixed points for multivalued mappings in \(b\)-metric spaces ⋮ Recent developments and applications on qualitative theory of fractional equations and related topics ⋮ Some fixed point results for dualistic rational contractions ⋮ A Fixed Point Theorem for Decreasing Functions ⋮ Common fixed point theorems under implicit relations on ordered metric spaces and application to integral equations ⋮ A Kannan-like contraction in partially ordered spaces ⋮ Existence, data-dependence and stability of coupled fixed point sets of some multivalued operators ⋮ Some novel fixed point theorems in partially ordered metric spaces ⋮ Fixed point results on ordered Prešić type mappings ⋮ Fixed point results for dominated mappings in rectangular \(b\)-metric spaces with applications ⋮ Fixed point theorems in \(R\)-metric spaces with applications ⋮ Admissible multivalued hybrid \(\mathcal{Z}\)-contractions with applications ⋮ Fixed point theorem for orthogonal contraction of Hardy-Rogers-type mapping on \(O\)-complete metric spaces ⋮ Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations ⋮ Relation theoretic metrical fixed point results for Suzuki type \(\mathcal{Z}_{\mathcal{R}}\)-contraction with an application ⋮ On Caristi fixed point theorem for set-valued mappings ⋮ Global optimal solutions for proximal fuzzy contractions ⋮ Existence of solutions for infinite systems of regular fractional Sturm-Liouville problems in the spaces of tempered sequences ⋮ Fixed point theorems via generalized \textit{WF}-contractions with applications ⋮ Applications of contractive-like mapping principles to fuzzy fractional integral equations with the kernel \(\psi \)-functions ⋮ A relational-theoretic approach to get solution of nonlinear matrix equations ⋮ Endpoints of generalized contractions in \(\mathscr{F}\)-metric spaces with application to integral equations ⋮ Fuzzy fixed point results via simulation functions ⋮ Fixed point theorems for monotone orbitally nonexpansive type mappings in partially ordered hyperbolic metric spaces ⋮ On a pair of fuzzy mappings in modular-like metric spaces with applications ⋮ On pairs of fuzzy dominated mappings and applications ⋮ Solution of nonlinear integral equation via fixed point of cyclic \(\alpha_L^\psi\)-rational contraction mappings in metric-like spaces ⋮ Common fixed points of family of multivalued F-contraction mappings on ordered metric spaces ⋮ End point results of generalized setvalued almost contractions in metric spaces endowed with a graph ⋮ On the positive definite solution of a class of pair of nonlinear matrix equations ⋮ An extension of Lakzian-Rhoades results in the structure of ordered b-metric spaces via \(wt\)-distance with an application ⋮ Relation-theoretic coincidence and common fixed point results under \((F,\mathcal{R})_g\)-contractions with an application ⋮ Ordered \(S_p\)-metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems ⋮ Strong coupled fixed points of Perov type contractive mappings via \(c\)-distance ⋮ Fixed fuzzy point results of generalized Suzuki type F-contraction mappings in ordered metric spaces ⋮ Employing locally finitely \(\mathcal{T}\)-transitive binary relations to prove coincidence theorems for nonlinear contractions ⋮ Some results in cone metric spaces with applications in homotopy theory ⋮ Some fixed point results for relation theoretic weak \(\varphi \)-contractions in cone metric spaces equipped with a binary relation and application to the system of Volterra type equations ⋮ Double controlled dislocated quasi-metric type spaces and some results ⋮ New fixed point theorems on \(b\)-metric spaces with applications to coupled fixed point theory ⋮ Fixed point theorems for a new class of mappings in modular spaces endowed with a graph ⋮ Some fixed point theorems for \(F(\psi,\varphi)\)-contractions and their application to fractional differential equations ⋮ Related Suzuki-type fixed point theorems in ordered metric space ⋮ On monotone nonexpansive mappings in \(\operatorname{CAT}_p(0)\) spaces ⋮ Fixed points and completeness in metric and generalized metric spaces ⋮ Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations ⋮ Coincidence and common fixed point results on metric spaces endowed with an arbitrary binary relation and applications ⋮ Fixed point results for contractions involving generalized altering distances in ordered metric spaces ⋮ Perturbation analysis for the matrix equation \(X - \sum^m_{i=1} A^\ast_i XA_i + \sum^n_{j=1} B^\ast_j XB_j = I\) ⋮ Positive definite solution of the matrix equation \(X = Q - A{^*}X^{-1}A + B{^*}X^{- 1}B\) via Bhaskar-Lakshmikantham fixed point theorem ⋮ Quadruple fixed point theorems in partially ordered metric spaces depending on another function ⋮ Coupled fixed points for Meir-Keeler contractions in ordered partial metric spaces ⋮ New Meir-Keeler type tripled fixed-point theorems on ordered partial metric spaces ⋮ Nonlinear contractive conditions for coupled cone fixed point theorems ⋮ Fixed point approximation of monotone nonexpansive mappings in hyperbolic spaces ⋮ Homotopic metric-interval L-contractions in gauge spaces ⋮ Fixed point results for Geraghty-weak contractions in ordered partial rectangular \(b\)-metric spaces ⋮ On generalized \(\alpha\)-\(\psi\)-Geraghty contractions on \(b\)-metric spaces ⋮ Fixed point theorems via MNC in ordered Banach space with application to fractional integro-differential evolution equations ⋮ An observation on \(\alpha\)-type \( F\)-contractions and some ordered-theoretic fixed point results ⋮ Fixed point results for \(\alpha \)-\(\psi \)-locally graphic contraction in dislocated quasi metric spaces ⋮ Shorter proofs of some recent even-tupled coincidence theorems for weak contractions in ordered metric spaces ⋮ Coupled and tripled coincidence point results under \((F, g)\)-invariant sets in \(G_b\)-metric spaces and \(G\)-\(\alpha \)-admissible mappings ⋮ On mixed \(g\)-monotone and \(w\)-compatible mappings in ordered cone \(b\)-metric spaces ⋮ Common fixed point theorems on orbitally complete ordered metric spaces via asymptotic regularity ⋮ Coupled fixed point theorems with rational expressions in partially ordered metric spaces ⋮ A variational principle and coupled fixed points ⋮ Random fixed point theorems in partially ordered metric spaces ⋮ Generalized \(\alpha\)-nonexpansive mappings in Banach spaces ⋮ Fixed set of set valued mappings with set valued domain in terms of start set on a metric space with a graph ⋮ Remarks on contractive type mappings ⋮ Fixed point theorems on ordered metric spaces through a rational contraction ⋮ Fixed points for \(\psi\)-graphic contractions with application to integral equations ⋮ A natural gradient descent algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance ⋮ Some fixed point results without monotone property in partially ordered metric-like spaces ⋮ Coupled coincidence point results for a generalized compatible pair with applications ⋮ Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces ⋮ Fixed point results for modified weak and rational \(\alpha\)-\(\psi\)-contractions in ordered 2-metric spaces ⋮ Set-valued \(G\)-Prešić operators on metric spaces endowed with a graph and fixed point theorems ⋮ Fixed point results for set-contractions on metric spaces with a directed graph ⋮ On monotone contraction mappings in modular function spaces ⋮ Analytical solution for differential and nonlinear integral equations via \(F_{\varpi_e}\)-Suzuki contractions in modified \(\varpi_e\)-metric-like spaces ⋮ Rational type fuzzy-contraction results in fuzzy metric spaces with an application ⋮ Iterative methods for monotone nonexpansive mappings in uniformly convex spaces ⋮ Existence theorems on advanced contractions with applications ⋮ Fixed points of Kannan contractive mappings in relational metric spaces ⋮ Relation-theoretic nonlinear contractions in an \(\mathcal{F}\)-metric space and applications ⋮ Fixed point theorems for Maia \(\alpha\)-\(\psi\) contractive type mappings with applications ⋮ A new approach in the context of ordered incomplete partial \(b\)-metric spaces ⋮ Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems ⋮ Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations ⋮ On fixed point theorems of monotone functions in ordered metric spaces ⋮ Fixed point theorems in preordered sets ⋮ Common fixed point theorems for rational \(F_{\mathcal{R}}\)-contractive pairs of mappings with applications ⋮ On solution of boundary value problems via weak contractions ⋮ An implicit relation, relational theoretic approach under \(w\)-distance and application to nonlinear matrix equations ⋮ Extended Branciari quasi-\(b\)-distance spaces, implicit relations and application to nonlinear matrix equations ⋮ Fixed point results for generalized multivalued orthogonal \(\alpha\)-\(F\)-contraction of integral type mappings in orthogonal metric spaces ⋮ Fixed point theory in graph metric spaces ⋮ Perturbed geometric contractions in ordered metric spaces ⋮ Meir-Keeler sequential contractions and Pata fixed point results ⋮ Fixed point results for \((\alpha, \bot_{\mathcal{F}})\)-contractions in orthogonal \(\mathcal{F}\)-metric spaces with applications ⋮ Solving an integral equation via \(\mathscr{C}^{\star}\)-algebra-valued partial \(b\)-metrics ⋮ Computation of solution of integral equations via fixed point results ⋮ Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators ⋮ Common positive solutions for two non-linear matrix equations using fixed point results in \(b\)-metric-like spaces ⋮ Fixed point and coincidence point theorems in b-metric spaces with applications ⋮ SOME COUPLED FIXED POINT THEOREMS FOR MAPPINGS SATISFYING RATIONAL TYPE CONTRACTIVE CONDITIONS IN PARTIALLY ORDERED METRIC SPACES ⋮ Fixed point results with respect to a wt-distance in partially ordered b-metric spaces and its application to nonlinear fourth-order differential equation ⋮ On Parametric $$(b, \theta )$$-Metric Space and Some Fixed Point Theorems ⋮ Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations ⋮ Fixed Point Results for Extensions of Orthogonal Contraction on Orthogonal Cone Metric Space ⋮ On Some Coupled Fixed Point Theorems with Rational Expressions in Partially Ordered Metric Spaces ⋮ Unnamed Item ⋮ Contraction Maps in Pseudometric Structures ⋮ MONOTONE LIPSCHITZIAN SEMIGROUPS IN BANACH SPACES ⋮ Coupled fixed points of monotone mappings in a metric space with a graph ⋮ Fixed point theorems to generalize FR- contraction mappings with application to nonlinear matrix equations ⋮ A multivalued fixed point result with associated data dependece and stability study ⋮ Optimal solutions and applications to nonlinear matrix and integral equations via simulation function ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A fixed point theorem for monotone asymptotically nonexpansive mappings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Coupled fixed points theorems for non-linear contractions in partially ordered modular spaces ⋮ Some fixed point theorems for contractive mapping in ordered vector metric spaces ⋮ S-gamma-phi-varphi-contractive type mappings in S-metric spaces ⋮ Comparable nonlinear contractions in ordered metric spaces ⋮ Weak theta-phi-contraction and discontinuity ⋮ Common fixed points of α-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space ⋮ Coincidence point results via generalized (ψ,ϕ)-weak contractions in partial ordered b-metric spaces with application ⋮ Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph ⋮ Fixed-Point Theorems for Generalized Nonexpansive Mappings ⋮ Weak and Strong Convergence Theorems ofG-Monotone Nonexpansive Mapping in Banach Spaces with a Graph ⋮ Some fixed point theorems for single valued strongly contractive mappings in partially ordered ultrametric and non-Archimedean normed spaces ⋮ On Convergence of Quasi ρ-preserving Locally Related Quasi-nonexpansive Mappings ⋮ The Knaster–Tarski theorem versus monotone nonexpansive mappings ⋮ $FG$-coupled fixed point theorems in cone metric spaces ⋮ Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations ⋮ Unnamed Item ⋮ Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions ⋮ On positive definite solution of nonlinear matrix equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some weakly contractive mapping theorems in partially ordered spaces and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed Point Theorems for Monotone Caristi Inward Mappings ⋮ Unnamed Item ⋮ Existence and Approximations for Order-Preserving Nonexpansive Semigroups over $$\mathrm{CAT}(\kappa )$$ Spaces ⋮ Fixed Points That Are Zeros of a Given Function ⋮ On Monotone Mappings in Modular Function Spaces ⋮ Approximating Fixed Points of Suzuki $$(\alpha ,\beta )$$-Nonexpansive Mappings in Ordered Hyperbolic Metric Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Approximating solutions of nonlinear periodic boundary value problems with maxima ⋮ Fixed point results for α-implicit contractions with application to integral equations ⋮ α-admissible Prešić type operators and fixed points ⋮ F-contractions of Hardy–Rogers-type and application to multistage decision ⋮ On the effect of alfa-admissibility and Teta-contractivity to the existence of fixed points of multivalued mappings ⋮ Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations ⋮ Some notes on a second-order random boundary value problem ⋮ Fixed point results for ordered S-G-contractions in ordered metric spaces ⋮ COUPLED FIXED POINT THEOREMS WITH C-CLASS FUNCTIONS ⋮ FIXED POINT OF MULTIVALUED CONTRACTIONS IN ORTHOGONAL MODULAR METRIC SPACES ⋮ Relation-theoretic contraction principle in metric-like as well as partial metric spaces ⋮ Meir–Keeler type contractive mappings in modular and partial modular metric spaces ⋮ Common fixed point theorems under an implicit contractive condition on metric spaces endowed with an arbitrary binary relation and an application ⋮ Unnamed Item ⋮ Coupled fixed point results for $alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications ⋮ Generalized C Ψ β - rational contraction and fixed point theorem with application to second order deferential equation ⋮ Coupled Random Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces ⋮ Unnamed Item ⋮ A variational principle, coupled fixed points and market equilibrium ⋮ Unnamed Item ⋮ Fixed point theorems for the Mann's iteration scheme in convex graphical rectangular b-metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Modified F-contractions via α-admissible mappings and application to integral equations ⋮ Fixed point theorems in ordered abstract spaces ⋮ Common fixed point results for generalized (ψ,β)-geraghty contraction type mapping in partially ordered metric-like spaces with application ⋮ Fixed points of α-dominated mappings on dislocated quasi metric spaces ⋮ Contributions to the coupled coincidence point problem in b-metric spaces with applications ⋮ From graphical metric spaces to fixed point theory in binary related distance spaces ⋮ Common fixed points of (α-ψ)- generalized rational multivalued contractions in dislocated quasi b-metric spaces and applications ⋮ On multivalued G-monotone Ciric and Reich contraction mappings ⋮ Monotone asymptotic pointwise contractions ⋮ Fixed points of multivalued non-linear F-contractions with application to solution of matrix equations ⋮ Fixed points of set-valued F-contractions and its application to non-linear integral equations ⋮ On some Ciric type results in partial b-metric spaces ⋮ Endpoints of multi-valued weakly contraction in complete metric spaces endowed with graphs ⋮ Relation-theoretic metrical coincidence theorems ⋮ Fixed point theorems for (φ-ψ) contractions in partially ordered metric-like spaces using new auxiliary functions ⋮ Extended partial b-metric spaces and some fixed point results ⋮ Unnamed Item ⋮ Coincidence and common fixed point results under generalized (A,S)f-contractions ⋮ μ-contractions in ordered metric spaces endowed with a w0-distance ⋮ A FIXED POINT THEOREM OF GENERALIZED Φ-CONTRACTIONS IN PARTIALLY ORDERED G-METRIC SPACES ⋮ Fixed points of set-valued mappings in Menger probabilistic metric spaces endowed with an amorphous binary relation ⋮ \(\phi\)-fixed point results for nonlinear contractions with an application ⋮ Reich-Krasnoselskii-type fixed point results with applications in integral equations ⋮ Fixed point results via altering distance functions in relational fuzzy metric spaces with application ⋮ On relation-theoretic \(F\)-contractions and applications in \(F\)-metric spaces ⋮ Fixed points of T-Hardy Rogers type mappings and coupled fixed point results in multiplicative metric spaces ⋮ Existence of positive solutions for a singular Hessian equation with a negative augmented term ⋮ Fixed point theorems for ;1-;2_M-Geraghty type contractions with applications in matrix equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed points of multivalued contractions via generalized class of simulation functions ⋮ Generalized $F$-contractions in Partially Ordered Metric Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Nonlinear sequential fractional differential equations in partially ordered spaces ⋮ Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application ⋮ Unnamed Item ⋮ Structural Fixed Point Results in Metric Spaces ⋮ On some fixed point theorems for ordered vectorial Ćirić-Prešić type contractions ⋮ Fixed point theorems for interpolative Kanann contraction mappings in Busemann space with an application to matrix equation ⋮ Generalized \(\alpha\)-\(\psi\) contractive type mappings and related coincidence fixed point theorems with applications ⋮ Unnamed Item ⋮ Fixed point results of \((\phi,\psi)\)-weak contractions in ordered \(b\)-metric spaces ⋮ EXPANSIVE FIXED POINT RESULTS IN SUPER METRIC SPACES ⋮ On contraction principles for mappings defined on a metric space with a directed graph ⋮ Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space ⋮ <scp>R‐weak</scp> commutativity, examples, and applications ⋮ A new generalization of metric spaces satisfying the \(T_2\)-separation axiom and some related fixed point results ⋮ Fixed-point results for generalized contraction in \(K\)-sequentially complete ordered dislocated fuzzy quasimetric spaces ⋮ Common fixed point results for three and four mappings on vector-\(b\)-metric space with a graph ⋮ Ekeland, Takahashi and Caristi principles in preordered quasi-metric spaces ⋮ Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space ⋮ Complete orthogonally modular metric space and fixed point results for orthogonal generalized \(F\)-contraction mappings ⋮ FIXED POINT THEOREMS FOR θ-EXPANSIONS IN BRANCIARI METRIC SPACES ⋮ Unique Tarski Fixed Points ⋮ Fixed point theorems for interpolative Ćirić-type contraction mappings in CAT(0) space with application to hyperbolical rotation matrix ⋮ Existence theorems for (Ψ,Φ)-orthogonal interpolative contractions and an application to fractional differential equations ⋮ A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications ⋮ Fixed point sets of multivalued rational contractions with stability analysis ⋮ Fixed point theorems in graphical cone metric spaces and application to a system of initial value problems ⋮ FIXED POINT THEOREMS WITH P-C-CONTRACTION IN PARTIALLY ORDERED MODULAR METRICS SPACES ⋮ Fixed point theorems in partially ordered topological spaces with applications ⋮ Unique positive definite solution of non-linear matrix equation on relational metric spaces ⋮ Fixed points of interpolative Matkowski type contraction and its application in solving non-linear matrix equations ⋮ Solving system of nonlinear matrix equations over Hermitian positive definite matrices ⋮ On monotone pseudocontractive operators and Krasnoselskij iterations in an ordered Hilbert space ⋮ Meir–Keeler Sequential Contractions and Applications ⋮ GENERAL COUPLED FIXED POINT THEOREM FOR A NONLINEAR CONTRACTIVE CONDITION IN A CONE METRIC SPACE ⋮ FIBONACCI–MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS ⋮ Tripled fixed point theorems and applications to a fractional differential equation boundary value problem ⋮ A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Convergence properties of BCR method for generalized Sylvester matrix equation over generalized reflexive and anti-reflexive matrices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces ⋮ Coincidence Theorems in New Generalized Metric Spaces Under Locally g-transitive Binary Relation ⋮ Contractive mapping theorems in Partially ordered metric spaces ⋮ Discussion on relation-theoretic for JS-quasi-contractions of uni/multi-dimensional mappings with the transitivity ⋮ A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations ⋮ Fixed point theorems in ordered 𝐿-spaces ⋮ A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations ⋮ Coupled fixed point theorems for contractive mappings involving new function classes and applications ⋮ Coupled coincidence point theorems for (α-μ-ψ-H-F)-two sided-contractive type mappings in partially ordered metric spaces using compatible mappings ⋮ Ciric-Berinde fixed point theorems formulti-valued mappings on α-complete metric-like spaces ⋮ A fixed point result for semigroups of monotone operators and a solution of discontinuous nonlinear functional-differential equations ⋮ Global optimization in metric spaces with partial orders ⋮ Fixed Point Theorems for Single Valued Mappings Satisfying the Ordered non-Expansive Conditions on Ultrametric and Non-Archimedean Normed Spaces ⋮ Fixed points of an F-contraction on metric spaces with a graph ⋮ On monotone multivalued transformations ⋮ Unnamed Item ⋮ The contraction principle for mappings on a metric space with a graph ⋮ Some fixed point theorems in ordered partial metric spaces with applications ⋮ Fixed point results for generalized rational Geraghty contractive mappings in extended b-metric spaces ⋮ Unnamed Item ⋮ Generalized contractions in partially ordered metric spaces ⋮ Some fixed point theorems of self-generalized contractions in partially ordered G-metric spaces ⋮ Fixed point theorems for generalized α- ψ type contractive mappings in b-metric spaces and applications ⋮ Solution of a class of nonlinear matrix equations ⋮ Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces ⋮ Solution of a class of nonlinear matrix equations ⋮ FIXED POINT THEOREMS IN ORDERED DUALISTIC PARTIAL METRIC SPACES ⋮ Fixed points of multi-valued relation-theoretic contractions in metric spaces and application ⋮ A natural selection of a graphic contraction transformation in fuzzy metric spaces ⋮ Common fixed points of monotone Lipschitzian semigroups in Banach spaces ⋮ Unnamed Item ⋮ Normwise, mixed and componentwise condition numbers of matrix equation X-∑_{i=1}^p A_i^T XA_i + ∑_{j=1}^q B_j^T XB_j = Q$ ⋮ Positive definite solution of a class of nonlinear matrix equation ⋮ Local fixed point results for graphic contractions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Contractive Operators in Relational Metric Spaces ⋮ Unnamed Item ⋮ Order uniform convexity in Banach spaces with an application ⋮ Generalized Contractions to Coupled Fixed Point Theorems in Partially Ordered Metric Spaces ⋮ Local Fractional Calculus to Design the Growth System of Covid-19 Using Measure of Non-compactness ⋮ A fixed-point approach for azimuthal equatorial ocean flows ⋮ Some new fixed point results for multi-valued weakly Picard operators ⋮ Generalized contraction involving an open ball and common fixed point of multivalued mappings in ordered dislocated quasi metric spaces ⋮ Fixed point results for F-expansive mappings in ordered metric spaces ⋮ A STUDY ON THE SOLUTIONS OF NOTABLE ENGINEERING MODELS ⋮ Coupled fixed point theorems for mappings satisfying rational type conditions in partially ordered metric spaces ⋮ Existence of solutions for boundary value problems and nonlinear matrix equations via F-contraction mappings in b-metric spaces
