Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations

DOI10.1007/s11083-005-9018-5zbMath1095.47013OpenAlexW1973567506WikidataQ60199444 ScholiaQ60199444MaRDI QIDQ2492803

Rosana Rodríguez-López, Juan. J. Nieto

Publication date: 14 June 2006

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-005-9018-5

zbMATH Keywords

fixed point differential equation contraction mapping lower solution upper solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10)

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Petruşel and G. Petruşel in $b$-metric fixed point theory ⋮ Fixed points vs. coupled fixed points ⋮ Edge theoretic extended contractions and their applications ⋮ Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations ⋮ Coupled fixed point theorems with applications to fractional evolution equations ⋮ Fixed point and common fixed point theorems on ordered cone metric spaces ⋮ Fixed point theorems for weakly contractive mappings in relational metric spaces with an application ⋮ Fixed-point theorems in partially ordered metric spaces for operators with PPF dependence ⋮ Existence results to positive solutions of fractional BVP with $q$-derivatives ⋮ Generalized cyclic contractions in partially ordered metric spaces ⋮ Common coupled fixed point theorems for $w^*$-compatible mappings without mixed monotone property ⋮ Discrete optimization in partially ordered sets ⋮ Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces ⋮ Periodic problem for the generalized Basset fractional differential equation ⋮ Applications of contractive-like mapping principles to interval-valued fractional integro-differential equations ⋮ Relation-theoretic metrical fixed-point results via $w$-distance with applications ⋮ Generalized metric spaces: a survey ⋮ Coupled fixed point theorems in partially ordered $G$-metric spaces ⋮ Fixed point theorems in partially ordered Banach spaces with applications to nonlinear fractional evolution equations ⋮ Recent contributions to fixed point theory of monotone mappings ⋮ An approximate fixed point result for multivalued mappings under two constraint inequalities ⋮ Best proximity point theorems for generalized cyclic contractions in ordered metric spaces ⋮ Two extensions of coupled coincidence point results for nonlinear contractive mappings ⋮ Existence and uniqueness theorems of ordered contractive map in Banach lattices ⋮ Positive solutions for fractional differential equations from real estate asset securitization via new fixed point theorem ⋮ Some fixed point theorems of multivalued operators in partially ordered metric spaces and applications to hyperbolic differential inclusions ⋮ Relation-theoretic contraction principle ⋮ New approach for studying nonlocal problems related to differential systems and partial differential equations in generalized fuzzy metric spaces ⋮ Common fixed points of set-valued $F$-contraction mappings on domain of sets endowed with directed graph ⋮ Common fixed point results of four mappings in ordered partial metric spaces ⋮ On solving nonlinear matrix equations in terms of $b$-simulation functions in $b$-metric spaces with numerical solutions ⋮ Coupled fixed point theorems in partially ordered metric spaces via mixed $g$-monotone property ⋮ Weak $\theta$-contractions and some fixed point results with applications to fractal theory ⋮ Positive solutions for a class of singular fractional boundary value problems ⋮ Existence and uniqueness of strictly nondecreasing and positive solution for a fractional three-point boundary value problem ⋮ Fixed point theorems for weakly contractive mappings in partially ordered sets ⋮ Fixed point theorems for a class of $\alpha$-admissible contractions and applications to boundary value problem ⋮ On existence and uniqueness of $g$-best proximity points under $\left(\varphi, \theta, \alpha, g\right)$-contractivity conditions and consequences ⋮ Discussion on generalized-$(\alpha\psi,\beta\phi)$-contractive mappings via generalized altering distance function and related fixed point theorems ⋮ Fixed point theorems of binary contraction comparable operators and an application ⋮ Discussion on ``Multidimensional coincidence points via recent publications ⋮ Caristi fixed point theorem in metric spaces with a graph ⋮ Some notes on the existence of solution for ordinary differential equations via fixed point theory ⋮ Two new types of fixed point theorems in complete metric spaces ⋮ Discussions on recent results for $\alpha$-$\psi$-contractive mappings ⋮ Coupled coincidence points for mixed monotone random operators in partially ordered metric spaces ⋮ An application of fixed point theory to a nonlinear differential equation ⋮ $n$-tupled coincidence point theorems in partially ordered metric spaces for compatible mappings ⋮ Positive and nondecreasing solutions to an $m$-point boundary value problem for nonlinear fractional differential equation ⋮ Krasnosel'skii type hybrid fixed point theorems and their applications to fractional integral equations ⋮ $(\psi,\alpha ,\beta )$-weak contractions in partially ordered metric spaces ⋮ A new technique to solve the initial value problems for fractional fuzzy delay differential equations ⋮ Tripled fixed points of multivalued nonlinear contraction mappings in partially ordered metric spaces ⋮ Fixed-point theorems for integral-type contractions on partial metric spaces ⋮ Coupled common fixed point theorems for a pair of commuting mappings in partially ordered complete metric spaces ⋮ On $(\psi ,\varphi )$-weakly contractive condition in partially ordered metric spaces ⋮ Generalized contraction principle under relatively weaker contraction in partial metric spaces ⋮ Fixed point theorems for mixed monotone operators with PPF dependence ⋮ End point results in metric spaces endowed with a graph ⋮ $N$ fixed point theorems and $N$ best proximity point theorems for generalized contraction in partially ordered metric spaces ⋮ Fixed points on ordered metric spaces with applications in homotopy theory ⋮ Common fixed point results for new Ciric-type rational multivalued $F$-contraction with an application ⋮ An iteration scheme for a family of multivalued mappings in CAT(0) spaces with an application to image recovery ⋮ Common best proximity point theorem for multivalued mappings in partially ordered metric spaces ⋮ Fixed points of Perov type contractive mappings on the set endowed with a graphic structure ⋮ Extension of Kirk-Saliga fixed point theorem in a metric space with a reflexive digraph ⋮ Some results on N-tupled coincidence and fixed points of graphs on metric spaces and an application to integral equations ⋮ Some deterministic and random fixed point theorems on a graph ⋮ Coupled coincidence points for mixed monotone operators in partially ordered metric spaces ⋮ Some fixed point theorems on ordered metric spaces and application ⋮ Fixed points of multivalued operators in ordered metric spaces with applications ⋮ Coupled coincidence point results for $(\psi, \alpha, \beta)$-weak contractions in partially ordered metric spaces ⋮ Theorems for Boyd-Wong-type contractions in ordered metric spaces ⋮ Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces ⋮ Coupled fixed point theorems for nonlinear contractions satisfied Mizoguchi-Takahashi's condition in quasiordered metric spaces ⋮ Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations ⋮ Solving a class of matrix equations via the Bhaskar-Lakshmikantham coupled fixed point theorem ⋮ Fixed-point results for multi-valued operators in quasi-ordered metric spaces ⋮ A coupled coincidence point result in partially ordered metric spaces for compatible mappings ⋮ Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces ⋮ Fixed point theorems for contractions of Reich type on a metric space with a graph ⋮ Some generalizations of fixed point theorems in partially ordered metric spaces and applications to partial differential equations with uncertainty ⋮ Fixed point results for a class of monotone nonexpansive type mappings in hyperbolic spaces ⋮ Nonnegative solutions of initial value problems for Langevin equations involving two fractional orders ⋮ A new type of fixed point theorem in metric spaces ⋮ Existence and uniqueness of positive solutions to boundary value problem with increasing homeomorphism and positive homomorphism operator ⋮ Two coupled weak contraction theorems in partially ordered metric spaces ⋮ Common fixed point theorems under weakly Hardy-Rogers-type contraction conditions in ordered orbitally complete metric spaces ⋮ A note on fixed point results without monotone property in partially ordered metric space ⋮ Generalized nonexpansive mappings in ordered metric spaces and their (common) fixed points with applications ⋮ Multi-valued $F$-contractions in 0-complete partial metric spaces with application to Volterra type integral equation ⋮ Monotone generalized nonlinear contractions in partially ordered metric spaces ⋮ 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 ⋮ Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems ⋮ Best proximity point for the sum of two non-self-operators ⋮ Uniqueness of positive solutions for boundary value problems of singular fractional differential equations ⋮ Unnamed Item ⋮ Remarks on asymptotic regularity and fixed points ⋮ Observations on relation-theoretic coincidence theorems under Boyd-Wong type nonlinear contractions ⋮ Fixed point of set-valued graph contractive mappings ⋮ Unnamed Item ⋮ Contraction Maps in Pseudometric Structures ⋮ MONOTONE LIPSCHITZIAN SEMIGROUPS IN BANACH SPACES ⋮ Coupled coincidence point results for compatible mappings in partially ordered probabilistic metric spaces ⋮ Unnamed Item ⋮ Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations ⋮ Fixed point results for $\mathcal{C}$-contractive mappings in generalized metric spaces with a graph ⋮ Fixed points of Suzuki contractive mappings in relational metric spaces ⋮ Fixed point results for non-self nonlinear graphic contractions in complete metric spaces with applications ⋮ Fixed point theorems for self and non-self $F$-contractions in metric spaces endowed with a graph ⋮ A common fixed point theorem for generalised $F$-Kannan mapping in metric space with applications ⋮ Related fixed point theorems in partially ordered $b$-metric spaces and applications to integral equations ⋮ 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 ⋮ The concept of cone $b$-Banach space and fixed point theorems ⋮ 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 ⋮ On nonlinear fuzzy set-valued $\Theta$-contractions with applications ⋮ 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 ⋮ First results in suprametric spaces with applications ⋮ New fixed point results in partial quasi-metric spaces ⋮ Fixed point results for interpolative $\psi$-Hardy-Rogers type contraction mappings in quasi-partial $b$-metric space with an applications ⋮ A fixed point theorem for monotone asymptotically nonexpansive 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 ⋮ Admissible perturbations ofα-ψ-pseudocontractive operators: convergence theorems ⋮ Discussion on some coupled fixed point theorems ⋮ Some existence and uniqueness theorems on ordered metric spaces via generalized distances ⋮ 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 ⋮ PPF Dependent Fixed Points in Razumikhin Metrical Chains ⋮ Fixed point theorems for contractive mappings and Ciric-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric 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 ⋮ Optimal approximate solution theorems for Geraghty's proximal contractions in partially ordered sets via w-distances ⋮ Common fixed points of α-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space ⋮ Sadovskii-type fixed point results for edge-preserving mappings ⋮ Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph ⋮ F-HR-type contractions on (\alpha,\eta)-complete rectangular b-metric spaces ⋮ Multivariate contraction mapping principle with the error estimate formulas in locally convex topological vector spaces and application ⋮ Non-self multivariate contraction mapping principle in Banach spaces ⋮ A generalized θ-contraction and related fixed point theorems ⋮ Global best approximate solutions for set-valued cyclic α-F-contractions ⋮ 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 ⋮ Nadler-Liu Functional Contractions in Metric Spaces ⋮ Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations ⋮ Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions ⋮ Isotone cones in Banach spaces and applications to best approximations of operators without continuity conditions ⋮ Unnamed Item ⋮ Some weakly contractive mapping theorems in partially ordered spaces and applications ⋮ 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 ⋮ Fixed point theorems in partially ordered metric spaces and applications ⋮ A coupled hybrid fixed point theorem involving the sum of two coupled operators in a partially ordered Banach space with applications ⋮ Fixed Point Theorems for Monotone Caristi Inward Mappings ⋮ Probabilistic $G$-contractions ⋮ Existence and uniqueness of positive solutions to $m$-point boundary value problem for nonlinear fractional differential equation ⋮ Existence and uniqueness of positive solutions for three-point boundary value problem with fractional $q$-differences ⋮ 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 ⋮ Unified Multi-tupled Fixed Point Theorems Involving Monotone Property in 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 ⋮ Properties of Fixed Point Sets of Monotone Nonexpansive Mappings in Banach Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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 ⋮ Approximating solutions of nonlinear periodic boundary value problems with maxima ⋮ Approximating positive solutions of nonlinear first order ordinary quadratic differential equations ⋮ COUPLED FIXED POINT THEOREMS WITH C-CLASS FUNCTIONS ⋮ Local attractivity and stability analysis of a nonlinear quadratic fractional integral equation ⋮ Some fixed point results for dualistic rational contractions ⋮ Relation-theoretic contraction principle in metric-like as well as partial metric spaces ⋮ Coupled fixed point results for $alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications ⋮ Coupled Random Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces ⋮ Unnamed Item ⋮ Towards a unified view of finite automata and semi-Markov flowgraph models ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Common fixed point theorems under implicit relations on ordered metric spaces and application to integral equations ⋮ Unnamed Item ⋮ A Kannan-like contraction in partially ordered spaces ⋮ Fixed point theorems in ordered abstract spaces ⋮ Weak PG-property and best proximity points ⋮ Fixed point and coincidence point theorems in b-metric spaces with applications ⋮ 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 ⋮ On Some Coupled Fixed Point Theorems with Rational Expressions in Partially Ordered Metric Spaces ⋮ Generalized $F$-contractions in Partially Ordered Metric Spaces ⋮ Applications of generalized fixed points theorems to the existence of uncertain differential equations with finite delay ⋮ Unnamed Item ⋮ Nonlinear sequential fractional differential equations in partially ordered spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Structural Fixed Point Results in Metric Spaces ⋮ On some fixed point theorems for ordered vectorial Ćirić-Prešić type contractions ⋮ Unnamed Item ⋮ Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces ⋮ Unnamed Item ⋮ Meir–Keeler Sequential Contractions and Applications ⋮ Unnamed Item ⋮ A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces ⋮ Endpoint results for weakly contractive mappings in $mathcal{F}$-metric spaces with application ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Coupled fixed points theorems for non-linear contractions in partially ordered modular spaces ⋮ Coincidence Theorems in New Generalized Metric Spaces Under Locally g-transitive Binary Relation ⋮ Contractive mapping theorems in Partially ordered metric spaces ⋮ Best proximity points for cyclic mappings in ordered metric spaces ⋮ Best proximity points for cyclic mappings in ordered metric spaces ⋮ Positive solutions of nonlinear fractional differential equations with integral boundary value conditions ⋮ A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations ⋮ Unnamed Item ⋮ A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations ⋮ On Fixed Point Theory in Partially Ordered (Quasi-)metric Spaces and an Application to Complexity Analysis of Algorithms ⋮ 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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The contraction principle for mappings on a metric space with a graph ⋮ 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 ⋮ Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces ⋮ Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces ⋮ FIXED POINT THEOREMS IN ORDERED DUALISTIC PARTIAL METRIC SPACES ⋮ 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 ⋮ Fixed points of multi-valued relation-theoretic contractions in metric spaces and application ⋮ Unnamed Item ⋮ Weakly (s,r)-contractive multi-valued operators on b-metric space ⋮ Unnamed Item ⋮ Common fixed point theorems under an implicit contractive condition on metric spaces endowed with an arbitrary binary relation and an application ⋮ Coupled and mixed coupled hybrid fixed point principles in a partially ordered Banach algebra and PBVPs of nonlinear coupled quadratic differential equations ⋮ Generalized C Ψ β - rational contraction and fixed point theorem with application to second order deferential equation ⋮ A variational principle, coupled fixed points and market equilibrium ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Contractive Operators in Relational Metric Spaces ⋮ Random fixed points for ψ-contractions with application to random differential equations ⋮ Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings^* ⋮ Unnamed Item ⋮ Modified F-contractions via α-admissible mappings and application to integral equations ⋮ 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 ⋮ Some new fixed point results for multi-valued weakly Picard operators ⋮ Fixed point theorems via w-distance in relational metric spaces with an application ⋮ 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 ⋮ 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 ⋮ 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 ⋮ Relation-theoretic metrical coincidence theorems ⋮ A STUDY ON THE SOLUTIONS OF NOTABLE ENGINEERING MODELS ⋮ 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 ⋮ Coincidence best proximity points in convex metric spaces ⋮ Coincidence and common fixed point results under generalized (A,S)f-contractions ⋮ Coupled fixed point theorems for mappings satisfying rational type conditions in partially ordered metric spaces ⋮ 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 ⋮ General Basset–Boussinesq–Oseen equation: existence, uniqueness, approximation and regularity of solutions ⋮ 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 ⋮ 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 ⋮ Orbital $b$-metric spaces and related fixed point results on advanced Nashine-Wardowski-Feng-Liu type contractions with applications ⋮ Some special functions in orthogonal fuzzy bipolar metric spaces and their fixed point applications ⋮ 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 ⋮ FIXED POINT THEOREMS FOR θ-EXPANSIONS IN BRANCIARI METRIC SPACES ⋮ Coupled fixed points for multivalued Feng-Liu-type contractions with application to nonlinear integral equation ⋮ Fixed point theorems for interpolative Ćirić-type contraction mappings in CAT(0) space with application to hyperbolical rotation matrix ⋮ A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications ⋮ Fixed point sets of multivalued rational contractions with stability analysis ⋮ Existence, uniqueness, and stability analysis of fractional Langevin equations with anti‐periodic boundary conditions ⋮ Unique positive definite solution of non-linear matrix equation on relational metric spaces ⋮ On monotone pseudocontractive operators and Krasnoselskij iterations in an ordered Hilbert space ⋮ Fixed points of set-valued mappings in Menger probabilistic metric spaces endowed with an amorphous binary relation ⋮ On φ-contractions and fixed point results in fuzzy metric spaces ⋮ 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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

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