DOI10.1016/j.jmaa.2007.11.026zbMath1142.47033OpenAlexW2037527403MaRDI QIDQ2480355
Donal O'Regan, Adrian Petruşel
Publication date: 31 March 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.11.026
Multivariate fixed point theorems for contractions and nonexpansive mappings with applications ⋮
Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations ⋮
New fixed point results for maps satisfying implicit relations on ordered metric spaces and application ⋮
Common fixed point theorems for generalized \(k\)-ordered contractions and \(B\)-contractions on noncommutative Banach spaces ⋮
The study of fixed points for multivalued mappings in a Menger probabilistic metric space endowed with a graph ⋮
New results on coupled fixed point theory in metric spaces endowed with a directed graph ⋮
Some coincidence theorems for generalized nonlinear contractions in ordered metric spaces with applications ⋮
Further generalized contraction mapping principle and best proximity theorem in metric spaces ⋮
Enriching some recent coincidence theorems for nonlinear contractions in ordered metric spaces ⋮
\(C^{\ast}\)-algebra-valued metric spaces and related fixed point theorems ⋮
Sharpening some core theorems of Nieto and Rodríguez-López with application to boundary value problem ⋮
Discussion on some recent order-theoretic metrical coincidence theorems involving nonlinear contractions ⋮
Coupled fixed point theorems with applications to fractional evolution equations ⋮
Solving a class of nonlinear matrix equations via the coupled fixed point theorem ⋮
Fixed point theorems of multivalued monotone mappings in ordered metric spaces ⋮
Fixed point and common fixed point theorems on ordered cone metric spaces ⋮
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the \(p\)-Laplacian operator ⋮
A simple method for obtaining coupled fixed points of \(\alpha-\psi\)-contractive type mappings ⋮
Common fixed-point results for nonlinear contractions in ordered partial metric spaces ⋮
A fixed point theorem for Meir-Keeler contractions in ordered metric spaces ⋮
Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type ⋮
Fixed point of generalized weakly contractive mappings in ordered partial metric spaces ⋮
Generalization of fixed point theorems in ordered metric spaces concerning generalized distance ⋮
Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces ⋮
Common fixed points of ordered \(g\)-quasicontractions and weak contractions in ordered metric spaces ⋮
Fixed point theorems on ordered gauge spaces with applications to nonlinear integral equations ⋮
Coupled fixed point theorems for generalized Mizoguchi-Takahashi contractions with applications ⋮
Existence of solutions for a periodic boundary value problem via generalized weakly contractions ⋮
Common fixed point theorems for weakly increasing mappings on ordered orbitally complete metric spaces ⋮
A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations ⋮
Common fixed point theorems for ({\(\psi\)}, {\(\phi\)})-weak nonlinear contraction in partially ordered sets ⋮
Coupled coincidence point theorems for generalized nonlinear contraction in partially ordered metric spaces ⋮
Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces ⋮
Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces ⋮
Generalized contractions in metric spaces endowed with a graph ⋮
A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations ⋮
New cone fixed point theorems for nonlinear multivalued maps with their applications ⋮
A fixed point theorem for mappings satisfying a contractive condition of rational type on a partially ordered metric space ⋮
Equivalent conditions for generalized contractions on (ordered) metric spaces ⋮
The contraction principle for set valued mappings on a metric space with a graph ⋮
Existence and uniqueness of positive solutions to nonlinear fractional differential equation with integral boundary conditions ⋮
Generalized weak contractions in partially ordered metric spaces ⋮
Fixed point theorems for decreasing operators in ordered Banach spaces with lattice structure and their applications ⋮
Common coupled fixed points of generalized contractive mappings in partially ordered metric spaces ⋮
Common fixed point theorems for dominating and weak annihilator mappings in ordered metric spaces ⋮
Simple fixed point results for order-preserving self-maps and applications to nonlinear Markov operators ⋮
Fixed point theorems for a class of nonlinear operators in Hilbert spaces with lattice structure and application ⋮
Coupled fixed point theorems for contractions involving altering distances in ordered metric spaces ⋮
Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings ⋮
Coupled fixed point results for \((\psi,\phi)\)-weakly contractive mappings in ordered \(G\)-metric spaces ⋮
Fixed point theorems for mixed monotone operators and applications to integral equations ⋮
Fixed point theorems for generalized contractions in partially ordered metric spaces with semi-monotone metric ⋮
Fixed point results for mappings satisfying \((\psi ,\varphi )\)-weakly contractive condition in partially ordered metric spaces ⋮
Coupled common fixed point theorems for \(w^{\ast }\)-compatible mappings in ordered cone metric spaces ⋮
Common fixed point results using generalized altering distances on orbitally complete ordered metric spaces ⋮
Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces ⋮
Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces ⋮
An extension of coupled fixed point's concept in higher dimension and applications ⋮
Some ordered fixed point results and the property (P) ⋮
Common fixed point results of four mappings in ordered partial metric spaces ⋮
End-point results for multivalued mappings in partially ordered metric spaces ⋮
Generalized altering distances and common fixed points in ordered metric spaces ⋮
Existence and uniqueness of positive solutions for integral boundary problems of nonlinear fractional differential equations with \(p\)-Laplacian operator ⋮
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 ⋮
Linear contractions in product ordered metric spaces ⋮
A fixed point theorem for contractions of rational type in partially ordered metric spaces ⋮
Positive and nondecreasing solutions to an \(m\)-point boundary value problem for nonlinear fractional differential equation ⋮
Common fixed point theorems for four mappings through generalized altering distances in ordered metric spaces ⋮
Coupled common fixed point theorems for a pair of commuting mappings in partially ordered complete metric spaces ⋮
Berinde mappings in ordered metric spaces ⋮
Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions ⋮
Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles ⋮
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 ⋮
Fixed point theorems for generalized weakly contractive condition in ordered metric spaces ⋮
Fixed-point results for generalized contractions on ordered gauge spaces with applications ⋮
Theorems for Boyd-Wong-type contractions in ordered metric spaces ⋮
Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces ⋮
Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces ⋮
A generalization of Mizoguchi and Takahashi's theorem for single-valued mappings in partially ordered metric spaces ⋮
Fixed point theorems for weakly \(C\)-contractive mappings in ordered metric spaces ⋮
Some fixed point theorems in ordered \(G\)-metric spaces and applications ⋮
Characterizations of reproducing cones and uniqueness of fixed points ⋮
Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations ⋮
Fixed-point results for multi-valued operators in quasi-ordered metric spaces ⋮
Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces ⋮
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 ⋮
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 ⋮
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 ⋮
Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems ⋮
Results on coincidence and common fixed points for \((\psi,\varphi)_g\)-generalized weakly contractive mappings in ordered metric spaces ⋮
Uniqueness of positive solutions for boundary value problems of singular fractional differential equations ⋮
Existence of solutions for infinite systems of regular fractional Sturm-Liouville problems in the spaces of tempered sequences ⋮
Some fixed point theorems on ordered cone metric spaces ⋮
Common fixed point theorem in partially ordered \(\mathbb L\)-fuzzy metric spaces ⋮
Fixed point theorems via generalized \textit{WF}-contractions with applications ⋮
Generalized $F$-contractions in Partially Ordered Metric Spaces ⋮
Fixed point theorems for manageable contractions with application to integral equations ⋮
Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations ⋮
Coupled fixed points of monotone mappings in a metric space with a graph ⋮
Fixed point results for non-self nonlinear graphic contractions in complete metric spaces with applications ⋮
On stationary points of multivalued strongly contractive mappings in partially ordered ultrametric spaces and non-Archimedean normed spaces ⋮
A discussion on generalized almost contractions via rational expressions in partially ordered metric spaces ⋮
Remarks on monotone multivalued mappings on a metric space with a graph ⋮
Weak KKH-Caristi type expansion on complete \(b\)-metric and \(b\)-ordered metric spaces and its consequences ⋮
The concept of cone \(b\)-Banach space and fixed point theorems ⋮
Generalized cyclic contractions in partially ordered metric spaces ⋮
Implicit Contractive Maps in Ordered Metric Spaces ⋮
Employing locally finitely \(\mathcal{T}\)-transitive binary relations to prove coincidence theorems for nonlinear contractions ⋮
Some coincidence point results in cone metric spaces ⋮
Coupled fixed point theorems in partially ordered \(G\)-metric spaces ⋮
<scp>R‐weak</scp> commutativity, examples, and applications ⋮
A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure ⋮
Existence of Urysohn and Atangana-Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators ⋮
Existence and uniqueness theorems of ordered contractive map in Banach lattices ⋮
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 ⋮
Unnamed Item ⋮
Metric or partial metric spaces endowed with a finite number of graphs: a tool to obtain fixed point results ⋮
Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations ⋮
Fixed point results for contractions involving generalized altering distances in ordered metric spaces ⋮
On solving nonlinear matrix equations in terms of \(b\)-simulation functions in \(b\)-metric spaces with numerical solutions ⋮
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 ⋮
Two new types of fixed point theorems in complete metric spaces ⋮
Common fixed point theorems for weakly isotone increasing mappings in ordered partial metric spaces ⋮
Fixed-point theorems for integral-type contractions on partial metric spaces ⋮
Comparable nonlinear contractions in ordered metric spaces ⋮
Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph ⋮
Multivariate contraction mapping principle with the error estimate formulas in locally convex topological vector spaces and application ⋮
Positive solutions of nonlinear fractional differential equations with integral boundary value conditions ⋮
Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations ⋮
Unnamed Item ⋮
A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations ⋮
NEW TYPE OF FIXED POINT RESULT OF FCONTRACTION WITH APPLICATIONS ⋮
Maia type fixed point results via C-class function ⋮
Fixed points on ordered metric spaces with applications in homotopy theory ⋮
Fixed point results for Geraghty-weak contractions in ordered partial rectangular \(b\)-metric spaces ⋮
An observation on \(\alpha\)-type \( F\)-contractions and some ordered-theoretic fixed point results ⋮
Shorter proofs of some recent even-tupled coincidence theorems for weak contractions in ordered metric spaces ⋮
On mixed \(g\)-monotone and \(w\)-compatible mappings in ordered cone \(b\)-metric spaces ⋮
Coincidence point theorem for generalized weakly contractions in ordered metric spaces ⋮
Almost contractive coupled mapping in ordered complete metric spaces ⋮
Common fixed point theorems on orbitally complete ordered metric spaces via asymptotic regularity ⋮
Unnamed Item ⋮
Fixed points and strict fixed points for multivalued contractions of Reich type on metric spaces endowed with a graph ⋮
Some weakly contractive mapping theorems in partially ordered spaces and applications ⋮
The fixed point problem for systems of coordinate-wise uniformly monotone operators and applications ⋮
Fixed Point Theorems for Single Valued Mappings Satisfying the Ordered non-Expansive Conditions on Ultrametric and Non-Archimedean Normed Spaces ⋮
Fixed point results for multivalued contractions on a metric space with a graph ⋮
Ciric-type \(\delta\)-contractions in metric spaces endowed with a graph ⋮
Contraction mapping principle with generalized altering distance function in ordered metric spaces and applications to ordinary differential equations ⋮
\(G\)-Prešić operators on metric spaces endowed with a graph and fixed point theorems ⋮
Generalized Meir-Keeler type \(n\)-tupled fixed point theorems in ordered partial metric spaces ⋮
Fixed point theorems on ordered metric spaces through a rational contraction ⋮
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 ⋮
Set-valued \((\Psi,\Phi)\)-\(\Theta\) ordered contractions with applications in differential inclusions ⋮
Some extension results on cone \(b\)-metric spaces over Banach algebras via \(\varphi\)-operator ⋮
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 ⋮
Fixed Points That Are Zeros of a Given Function ⋮
On some fixed point theorems for multivalued \(F\)-contractions in partial metric spaces ⋮
Unnamed Item ⋮
Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces ⋮
Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem ⋮
COUPLED FIXED POINT THEOREMS WITH C-CLASS FUNCTIONS ⋮
Fixed point theorems in preordered sets ⋮
Some fixed point theorems in \(b\)-metric space endowed with graph ⋮
Fixed point theory in graph metric spaces ⋮
Common fixed point theorems under implicit relations on ordered metric spaces and application to integral equations ⋮
Unnamed Item ⋮
Contractive Operators in Relational Metric Spaces ⋮
Positive solutions for singular boundary value problem with fractional \(q\)-differences ⋮
A Kannan-like contraction in partially ordered spaces ⋮
Fixed points of multivalued mappings in modular function spaces with a graph ⋮
Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph ⋮
The contraction principle for mappings on a modular metric space with a graph ⋮
A fixed-point approach for azimuthal equatorial ocean flows ⋮
Fixed point results for F-expansive mappings in ordered metric spaces ⋮
Common fixed point results for generalized (ψ,β)-geraghty contraction type mapping in partially ordered metric-like spaces with application ⋮
Relation-theoretic metrical coincidence theorems ⋮
Fixed point theorems for (φ-ψ) contractions in partially ordered metric-like spaces using new auxiliary functions
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