The contraction principle for mappings on a metric space with a graph

From MaRDI portal

Publication:5441177

Jump to:navigation, search

DOI10.1090/S0002-9939-07-09110-1zbMath1139.47040OpenAlexW2061043245MaRDI QIDQ5441177

Jacek R. Jachymski

Publication date: 8 February 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09110-1

zbMATH Keywords

contraction fixed point Bernstein operator Banach contraction principle partial order connected graph successive approximation Picard operator Knaster-Tarski theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Connectivity (05C40)

Related Items

Coupled coincidence and coupled common fixed point theorems on a metric space with a graph ⋮ Common fixed point results of a pair of generalized \((\psi,\varphi )\)-contraction mappings in modular spaces ⋮ Browder and Göhde fixed point theorem for monotone nonexpansive mappings ⋮ Edge theoretic extended contractions and their applications ⋮ Unified relation-theoretic metrical fixed point theorems under an implicit contractive condition with an application ⋮ Fixed point results in \(C^{*}\)-algebra-valued metric spaces are direct consequences of their standard metric counterparts ⋮ On new fixed point results for \((\alpha, \psi, \xi)\)-contractive multi-valued mappings on \(\alpha\)-complete metric spaces and their consequences ⋮ The class of \((\alpha,\psi)\)-type contractions in \(b\)-metric spaces and fixed point theorems ⋮ On monotone Ćirić quasi-contraction mappings with a graph ⋮ On monotone nonexpansive mappings in \(L_{1}([0,1)\)] ⋮ Coincidence point theorems for graph-preserving multi-valued mappings ⋮ Best proximity point results for modified \(\alpha\)-proximal \(C\)-contraction mappings ⋮ Coincidence point theorems for weak graph preserving multi-valued mapping ⋮ The study of fixed points for multivalued mappings in a Menger probabilistic metric space endowed with a graph ⋮ Fixed points of monotone mappings and application to integral equations ⋮ New results on coupled fixed point theory in metric spaces endowed with a directed graph ⋮ Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph ⋮ Some fixed point theorems for \((\alpha,\theta,k)\)-contractive multi-valued mappings with some applications ⋮ On monotone pointwise contractions in Banach and metric spaces ⋮ On monotone pointwise contractions in Banach spaces with a graph ⋮ On common approximate fixed points of monotone nonexpansive semigroups in Banach spaces ⋮ Coincidence point and fixed point theorems for a new type of \(G\)-contraction multivalued mappings on a metric space endowed with a graph ⋮ On Browder's convergence theorem and Halpern iteration process for \(G\)-nonexpansive mappings in Hilbert spaces endowed with graphs ⋮ Common coupled fixed point theorems for \(\theta\)-\(\psi\)-contraction mappings endowed with a directed graph ⋮ Extensions of almost-\(F\) and \(F\)-Suzuki contractions with graph and some applications to fractional calculus ⋮ Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contractions on quasi \(b\)-metric spaces ⋮ Best proximity point results in \(b\)-metric space and application to nonlinear fractional differential equation ⋮ Some \(PPF\) dependent fixed point theorems for generalized \(\alpha\)-\(F\)-contractions in Banach spaces and applications ⋮ Fixed point theorems for generalized Mizoguchi-Takahashi graphic contractions ⋮ Fixed point theorems for \(\alpha \)-integral type \(G\)-contraction mappings ⋮ 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 ⋮ Generalized contractions in metric spaces endowed with a graph ⋮ Fixed points for \(G\)-contractions on uniform spaces endowed with a graph ⋮ Equivalent conditions for generalized contractions on (ordered) metric spaces ⋮ The contraction principle for set valued mappings on a metric space with a graph ⋮ Common fixed point of a power graphic contraction pair in partial metric spaces endowed with a graph ⋮ A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations ⋮ Recent contributions to fixed point theory of monotone mappings ⋮ An approximate fixed point result for multivalued mappings under two constraint inequalities ⋮ Coupled fixed point theorems for contractions involving altering distances in ordered metric spaces ⋮ Fixed point results on subgraphs of directed graphs ⋮ Some fixed point results on a metric space with a graph ⋮ Fixed point theorems for Reich type contractions on metric spaces with a graph ⋮ Common fixed points of set-valued \(F\)-contraction mappings on domain of sets endowed with directed graph ⋮ Fixed point results for mappings satisfying \((\psi ,\varphi )\)-weakly contractive condition in partially ordered metric spaces ⋮ Multivalued fixed point results for new generalized \(F\)-dominated contractive mappings on dislocated metric space with application ⋮ Fixed point theory in \(\alpha\)-complete metric spaces with applications ⋮ Caristi fixed point theorem in metric spaces with a graph ⋮ Two new types of fixed point theorems in complete metric spaces ⋮ Discussions on recent results for \(\alpha\)-\(\psi\)-contractive mappings ⋮ Fixed point results for multivalued contractive mappings endowed with graphic structure ⋮ Qualitative properties of the solution of a system of operator inclusions in \(b\)-metric spaces endowed with a graph ⋮ Fixed points of Mizoguchi-Takahashi contraction on a metric space with a graph and applications ⋮ Fixed point results for cyclic \(\alpha-\psi \phi\)-contractions with application to integral equations ⋮ New \(PPF\) dependent fixed point theorems for Suzuki type \(GF\)-contractions ⋮ End point results in metric spaces endowed with a graph ⋮ Topological aspects of weighted graphs with application to fixed point theory ⋮ Homotopic metric-interval L-contractions in gauge spaces ⋮ Modified Halpern's iteration for fixed point theory of a finite family of \(G\)-nonexpansive mappings endowed with graph ⋮ The method for solving fixed point problem of \(G\)-nonexpansive mapping in Hilbert spaces endowed with graphs and numerical example ⋮ Some new coincidence point results for single-valued and multi-valued mappings in \(b\)-metric spaces via digraphs ⋮ Fisher fixed point results in generalized metric spaces with a graph ⋮ Some fixed point theorems in cone modular spaces with a graph ⋮ Fixed points of Perov type contractive mappings on the set endowed with a graphic structure ⋮ Fixed point results for \(\alpha \)-\(\psi \)-locally graphic contraction in dislocated quasi metric spaces ⋮ A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs ⋮ Some deterministic and random fixed point theorems on a graph ⋮ Common fixed points of \(G\)-nonexpansive mappings on Banach spaces with a graph ⋮ 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 ⋮ Characterizations of reproducing cones and uniqueness of fixed points ⋮ Fixed points for \(\psi\)-graphic contractions with application to integral equations ⋮ Fixed points of \(G\)-type quasi-contractions on graphs ⋮ Fixed point theorems for \(\tau -\varphi \)-concave operators and applications ⋮ 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 ⋮ Convergence analysis of modified abbas iteration process for two \(G\)-nonexpansive mappings ⋮ Fixed point theorems for contractions of Reich type on a metric space with a graph ⋮ Rational type multivalued \(F_{G}\)-contractive mappings with a graph ⋮ Common fixed points of two \(G\)-nonexpansive mappings via a faster iteration procedure ⋮ Common best proximity point theorems in JS-metric spaces endowed with graphs ⋮ A new type of fixed point theorem in metric spaces ⋮ Coincidence point of L-fuzzy sets endowed with graph ⋮ Convergence theorems for \(G\)-nonexpansive mappings in convex metric spaces with a directed graph ⋮ Periodic and fixed points for Caristi-type \(G\)-contractions in extended \(b\)-gauge spaces ⋮ Coincidence point results on relation theoretic \((F_w, \mathscr{R})_g\)-contractions and applications ⋮ IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem ⋮ Wardowski's contraction and fixed point technique for solving systems of functional and integral equations ⋮ Sufficient conditions to solve two systems of integral equations via fixed point results ⋮ Approximate coincidence point and common fixed point results for a hybrid pair of mappings with constraints in partially ordered Menger PM-spaces ⋮ On solution of boundary value problems via weak contractions ⋮ Fixed point theory in graph metric spaces ⋮ Perturbed geometric contractions in ordered metric spaces ⋮ Meir-Keeler sequential contractions and Pata fixed point results ⋮ On some fixed-point theorems for \(\psi\)-contraction on metric space involving a graph ⋮ A new type of multivalued contraction in partial Hausdorff metric spaces endowed with a graph ⋮ Systems of Hammerstein integral inclusions in Banach spaces with mixed monotone conditions ⋮ \(C^{*}\)-valued \(G\)-contractions and fixed points ⋮ Multivalued FG-Contraction Mappings on Directed Graphs ⋮ Fixed points of multivalued contractions via generalized class of simulation functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A novel study for hybrid pair of multivalued dominated mappings in \(b\)-multiplicative metric space with applications ⋮ Structural Fixed Point Results in Metric Spaces ⋮ Unnamed Item ⋮ On a pair of fuzzy dominated mappings on closed ball in the multiplicative metric space with applications ⋮ On contraction principles for mappings defined on a metric space with a directed graph ⋮ Approximation of \(G\)-variational inequality problems and fixed-point problems of \(G\)-\(\kappa\)-strictly pseudocontractive mappings by an intermixed method endowed with a graph ⋮ Existence results for the families of multi-mappings with applications to integral and functional equations ⋮ 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 ⋮ Complete orthogonally modular metric space and fixed point results for orthogonal generalized \(F\)-contraction mappings ⋮ Fixed points of JS-contractive mappings with applications ⋮ Computation and convergence of fixed points in graphical spaces with an application to elastic beam deformations ⋮ A fixed point approach for tuning circuit problem in dislocated b‐metric spaces ⋮ Fixed point theorems in graphical cone metric spaces and application to a system of initial value problems ⋮ Best proximity points of set-valued generalized contractions ⋮ Convergence analysis of M-iteration for \(\mathcal{G}\)-nonexpansive mappings with directed graphs applicable in image deblurring and signal recovering problems ⋮ 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 ⋮ Common fixed point for multivalued ($\psi$-$G$)-contraction mappings in partial metric spaces with a graph structure ⋮ Some fixed point results on ultrametric spaces endowed with a graph ⋮ Convergence point of G-nonexpansive mappings in Banach spaces endowed with graphs applicable in image deblurring and signal recovering problems ⋮ Convergence results based on graph-Reich contraction in fuzzy metric spaces with application ⋮ FIBONACCI–MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ ĆIRIĆ TYPE ALPHA-PSI F-CONTRACTION INVOLVING FIXED POINT ON A CLOSED BALL ⋮ Fixed point results for Hardy-Rogers type contractions with respect to a c-distance in graphical cone metric spaces ⋮ Fixed point theorem in ultrametric space ⋮ A fixed point theorem for G-monotone multivalued mapping with application to nonlinear integral equations ⋮ Fixed points for (G,Ф)-contractions in vector metric spaces endowed with a graph ⋮ Fixed points of an F-contraction on metric spaces with a graph ⋮ Fixed point theorems for cyclic contractions in \(C^\ast\)-algebra-valued \(b\)-metric spaces ⋮ Fixed point results for multivalued mappings on a sequence in a closed ball with applications ⋮ Fixed point theorems for generalized α- ψ type contractive mappings in b-metric spaces and applications ⋮ Fixed point theorems for weakly beta-admissible pair of F-contractions with application ⋮ A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A natural selection of a graphic contraction transformation in fuzzy metric spaces ⋮ Unnamed Item ⋮ Ekeland variational principle on weighted graphs ⋮ Fixed point results for nonlinear contractions with application to integral equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Relation theoretic fixed point results for multivalued mappings in rectangular $b$-metrics spaces ⋮ On coincidence point and fixed point theorems for a general class of multivalued mappings in incomplete metric spaces with an application ⋮ Results on contractions of Reich type in graphical b-metric spaces with applications ⋮ Convergence theorems for generalized contractions and applications ⋮ Modified shrinking projection methods in CAT(0) space ⋮ A STUDY ON THE SOLUTIONS OF NOTABLE ENGINEERING MODELS ⋮ Modified CQ-Algorithms for G-Nonexpansive Mappings in Hilbert Spaces Involving Graphs ⋮ Existence, data-dependence and stability of coupled fixed point sets of some multivalued operators ⋮ Coincidence points of a sequence of multivalued mappings in metric space with a graph ⋮ Best proximity point results in non-Archimedean modular metric space ⋮ Fixed points of set valued mappings in terms of start point on a metric space endowed with a directed graph ⋮ Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application ⋮ Geraghty type generalized \(F\)-contractions and related applications in partial \(b\)-metric spaces ⋮ Fixed point results for dominated mappings in rectangular \(b\)-metric spaces with applications ⋮ Fractional convex type contraction with solution of fractional differential equation ⋮ Admissible multivalued hybrid \(\mathcal{Z}\)-contractions with applications ⋮ The Meir-Keeler type contractions in extended modular \(b\)-metric spaces with an application ⋮ Relation theoretic metrical fixed point results for Suzuki type \(\mathcal{Z}_{\mathcal{R}}\)-contraction with an application ⋮ Fixed point theorems for generalized \(\alpha\)-\(\psi\)-contractive mappings in extended \(b\)-metric spaces with applications ⋮ On some \(w\)-interpolative contractions of Suzuki-type mappings in quasi-partial \(b\)-metric space ⋮ Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces ⋮ A novel approach of graphical rectangular $b$-metric spaces with an application to the vibrations of a vertical heavy hanging cable ⋮ Convergence analysis for a new two-step iteration process for G-nonexpansive mappings with directed graphs ⋮ On the existence of the solution of Hammerstein integral equations and fractional differential equations ⋮ An accelerated common fixed point algorithm for a countable family of \(G\)-nonexpansive mappings with applications to image recovery ⋮ Endpoints of generalized contractions in \(\mathscr{F}\)-metric spaces with application to integral equations ⋮ A study of some new multivalued fixed point results in a modular like metric space with graph ⋮ Fuzzy fixed point results via simulation functions ⋮ Fixed point theorems for multivalued nonself \(G\)-almost contractions in Banach spaces endowed with graphs ⋮ A new extension to the controlled metric type spaces endowed with a graph ⋮ On a pair of fuzzy mappings in modular-like metric spaces with applications ⋮ Fixed point results for a pair of fuzzy mappings and related applications in \(b\)-metric like spaces ⋮ A study of symmetric contractions with an application to generalized fractional differential equations ⋮ New coincidence point results for generalized graph-preserving multivalued mappings with applications ⋮ On pairs of fuzzy dominated mappings and applications ⋮ An inertial parallel algorithm for a finite family of \(G\)-nonexpansive mappings with application to the diffusion problem ⋮ Common fixed point theorems for auxiliary functions with applications in fractional differential equation ⋮ Uniqueness of positive solutions for several classes of sum operator equations and applications ⋮ 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 ⋮ PPF dependent fixed point theorems for \(\alpha_c\)-admissible rational type contractive mappings in Banach spaces ⋮ Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph ⋮ Solution of nonlinear integral equation via fixed point of cyclic \(\alpha_L^\psi\)-rational contraction mappings in metric-like spaces ⋮ End point results of generalized setvalued almost contractions in metric spaces endowed with a graph ⋮ Hybrid methods for a finite family of G-nonexpansive mappings in Hilbert spaces endowed with graphs ⋮ 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 ⋮ A new modified three-step iteration method for G-nonexpansive mappings in Banach spaces with a graph ⋮ Convergence of a new three-step iteration process to common fixed points of three \(G\)-nonexpansive mappings in Banach spaces with directed graphs ⋮ Existence of fixed points for \(\mathcal{J}\)-\(\psi \)-fuzzy contractions in fuzzy metric spaces endowed with graph ⋮ Fixed points of multivalued \(G\)-nonexpansive mappings in Hadamard spaces endowed with graphs ⋮ 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 ⋮ Common fixed point and coupled coincidence point theorems for Geraghty's type contraction mapping with two metrics endowed with a directed graph ⋮ Fixed point theorems for a new class of mappings in modular spaces endowed with a graph ⋮ Fixed point problems in cone rectangular metric spaces with applications ⋮ Common fixed-point theorems in modular function spaces endowed with reflexive digraph ⋮ Metric or partial metric spaces endowed with a finite number of graphs: a tool to obtain fixed point results ⋮ Best proximity point theorems for \((G,D)\)-proximal Geraghty maps in \(JS\)-metric spaces ⋮ Coincidence best proximity point results in branciari metric spaces with applications ⋮ Multivalued fixed point results for two families of mappings in modular-like metric spaces with applications ⋮ \(\perp_{\psi F}\)-contractions and some fixed point results on generalized orthogonal sets ⋮ A parallel monotone hybrid algorithm for a finite family of \(G\)-nonexpansive mappings in Hilbert spaces endowed with a graph applicable in signal recovery ⋮ Fixed point theorems for integral \(G\)-contractions ⋮ Fixed points and strict fixed points for multivalued contractions of Reich type on metric spaces endowed with a graph ⋮ Fixed point results for multivalued contractions on a metric space with a graph ⋮ Common fixed point results for \(\alpha\)-\(\psi\)-contractions on a metric space endowed with graph ⋮ Fixed point analysis for multi-valued operators with graph approach by the generalized Hausdorff distance ⋮ \(G\)-Prešić operators on metric spaces endowed with a graph and fixed point theorems ⋮ Convergence analysis of SP-iteration for \(G\)-nonexpansive mappings with directed graphs ⋮ Graphic contraction mappings via graphical \(b\)-metric spaces with applications ⋮ Probabilistic \(G\)-contractions ⋮ The variational inequality problem in Hilbert spaces endowed with graphs ⋮ Mann iteration process for monotone nonexpansive mappings with a graph ⋮ Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam ⋮ Common fixed points of set mappings endowed with directed graphs ⋮ Some fixed point theorems in modular function spaces endowed with a graph ⋮ Best proximity point theorems on rectangular metric spaces endowed with a graph ⋮ Generalized contractions for a sequence of multi-valued mappings ⋮ Computational fixed points in graphical rectangular metric spaces with application ⋮ Fixed points for multivalued convex contractions on Nadler sense types in a geodesic metric space ⋮ On vector valued pseudo metrics and applications ⋮ New fixed point results with PPF dependence in Banach spaces endowed with a graph ⋮ Some fixed point theorems in \(b\)-metric space endowed with graph ⋮ Applications of multivalued contractions on graphs to graph-directed iterated function systems ⋮ Some noncontractive maps on incomplete metric spaces have also fixed points ⋮ Common fixed point results for class of set-contraction mappings endowed with a directed graph ⋮ Some fixed point results on rectangular metric-like spaces endowed with a graph ⋮ Multivalued fixed point results in dislocated \(b\)-metric spaces with application to the system of nonlinear integral equations ⋮ Hybrid multivalued type contraction mappings in \(\alpha_K\)-complete partial \(b\)-metric spaces and applications ⋮ Fixed points of a \(\phi\)-\(G\)-contractive mapping with respect to a \(c\)-distance on an abstract metric space endowed with a graph ⋮ Common fixed points in generalized metric spaces with a graph ⋮ New fixed point results for modified contractions and applications ⋮ Generalized contractive mappings and related results in \(b\)-metric like spaces with an application ⋮ Some coincidence and periodic points results in a metric space endowed with a graph and applications ⋮ 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 ⋮ Fixed points of monotone nonexpansive mappings with a graph ⋮ Reich type weak contractions on metric spaces endowed with a graph ⋮ A note on some fundamental results in complete gauge spaces and application ⋮ The Ran-Reurings fixed point theorem without partial order: a simple proof ⋮ A unified Feng-Liu type result in relational metric spaces with an application ⋮ Graphical structure of double controlled metric-like spaces with an application ⋮ Common fixed point results for two families of multivalued \(A\)-dominated contractive mappings on closed ball with applications ⋮ A discussion on a generalized Geraghty multi-valued mappings and applications ⋮ Weak PG-property and best proximity points ⋮ Unnamed Item ⋮ 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 Some Fixed Point Results in Various Types of Modular Metric Spaces ⋮ Best Proximity Points for Multivalued Mappings Satisfying $$Z_{\sigma }$$-Proximal Contractions with Applications ⋮ GENERALIZED CONTRACTIONS IN METRIC SPACES FOR SIMULATION FUNCTION ENDOWED WITH A GRAPH ⋮ Unnamed Item ⋮ MONOTONE LIPSCHITZIAN SEMIGROUPS IN BANACH SPACES ⋮ Unnamed Item ⋮ Some fixed point results for weakly $b-(varphi,G)$ contraction in $b-$metric spacs endowed with a graph ⋮ CONVERGENCE OF INEXACT ITERATES OF CONTRACTIVE MAPPINGS IN METRIC SPACES WITH GRAPHS ⋮ Fixed point results for \(\mathcal{C}\)-contractive mappings in generalized metric spaces with a graph ⋮ Set valued Reich type \(G\)-contractions in a complete metric space with graph ⋮ Fixed point theorems for set-valued \(G\)-contractions in a graphical convex metric space with applications ⋮ The viscosity approximation method for multivalued \(G\)-nonexpansive mappings in Hadamard spaces endowed with graphs ⋮ A note on the paper ``A novel approach of graphical rectangular \(b\)-metric spaces with an application to the vibrations of a vertical heavy hanging cable ⋮ Fixed point theorems for self and non-self \(F\)-contractions in metric spaces endowed with a graph ⋮ Convergence of Iterates of α-Bernstein Type Operators via Fixed Point of Generalized JS-Contraction Type Mappings ⋮ Existence of coupled fixed point via measure of noncompactness ⋮ Fixed point results on a metric space endowed with a finite number of graphs and applications ⋮ Existence theorems of a new set-valued MT-contraction in b-metric spaces endowed with graphs and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed point results for generalized contraction mappings and cyclical mappings in \(b\)-metric spaces endowed with a digraph ⋮ A unique approach to graph-based metric spaces with an application to rocket ascension ⋮ Common Fixed Point Results in C ∗ -Algebra Valued b-Metric Spaces Via Digraphs ⋮ Existence, data dependence and stability of fixed points of multivalued maps in incomplete metric spaces ⋮ Coincidence point theorems for $\varphi$-$\psi$-contraction mappings in metric spaces involving a graph ⋮ A fixed point theorem for monotone asymptotically nonexpansive mappings ⋮ Graphical structure of extended \(b\)-metric spaces: an application to the transverse oscillations of a homogeneous bar ⋮ Best proximity points of contractive mappings on a metric space with a graph and applications ⋮ Fixed points of α-Θ-Geraghty type and Θ-Geraghty graphic type contractions ⋮ Common Fixed Points of Weakly Commuting Multivalued Mappings on a Domain of Sets Endowed with Directed Graph ⋮ Endpoint results for weakly contractive mappings in $mathcal{F}$-metric spaces with application ⋮ Coincidence point results for graph preserving hybrid pair of mappings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Existence Theorem for Contractive Mappings on $wt$-distance in $b$-metric Spaces Endowed with a Graph and its Application ⋮ Some Fixed Point Results on Intuitionistic Fuzzy Metric Spaces with a Graph ⋮ PPF Dependent Fixed Points in Razumikhin Metrical Chains ⋮ 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 ⋮ Fixed-Point Theorems for Generalized Nonexpansive Mappings ⋮ F-HR-type contractions on (\alpha,\eta)-complete rectangular b-metric spaces ⋮ Weak and Strong Convergence Theorems ofG-Monotone Nonexpansive Mapping in Banach Spaces with a Graph ⋮ The Knaster–Tarski theorem versus monotone nonexpansive mappings ⋮ Nadler-Liu Functional Contractions in Metric Spaces ⋮ Unnamed Item ⋮ Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Monotone Mappings in Modular Function Spaces ⋮ Common Fixed Point Theorems for Four Maps ⋮ Properties of Fixed Point Sets of Monotone Nonexpansive Mappings in Banach Spaces ⋮ Best proximity results for proximal contractions in metric spaces endowed with a graph ⋮ Fixed points for Kannan type contractions in uniform spaces endowed with a graph ⋮ Coincidence and common fixed point theorems for four mappings satisfying (αs, F)-contraction ⋮ FIXED POINT OF MULTIVALUED CONTRACTIONS IN ORTHOGONAL MODULAR METRIC SPACES ⋮ König chains for submultiplicative functions and infinite products of operators ⋮ PPF dependent fixed points of generalized contractive type mappings using C-class functions with an application ⋮ 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 ⋮ Fixed point theorems of (α,ψ) G-contractive mappings in quasi-partial b-metric-like spaces endowed with a graph ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed point theorems for the Mann's iteration scheme in convex graphical rectangular b-metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs ⋮ From graphical metric spaces to fixed point theory in binary related distance spaces ⋮ On multivalued G-monotone Ciric and Reich contraction mappings ⋮ Fixed points of set-valued F-contractions and its application to non-linear integral equations ⋮ Endpoints of multi-valued weakly contraction in complete metric spaces endowed with graphs ⋮ Coincidence of multivalued mappings on metric spaces with a graph ⋮ A fixed point theorem for JS-contraction type mappings with applications to polynomial approximations ⋮ Multivalued generalized graphic θ-contraction on directed graphs and application to mixed Volterra-Fredholm integral inclusion equations ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

This page was built for publication: The contraction principle for mappings on a metric space with a graph

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:5441177&oldid=20203461"