Generalized contractions in metric spaces endowed with a graph

DOI10.1186/1687-1812-2012-161zbMath1405.47022OpenAlexW2095783436WikidataQ59288132 ScholiaQ59288132MaRDI QIDQ385220

Cristian Chifu, Gabriela Petrusel

Publication date: 2 December 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-161

zbMATH Keywords

fixed pointmetric spaceconnected graphgeneralized contractionalmost contractiongraphic contraction

Mathematics Subject Classification ID

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

Related Items (24)

Fixed points of multivalued contractions via generalized class of simulation functions ⋮ On new fixed point results for \((\alpha, \psi, \xi)\)-contractive multi-valued mappings on \(\alpha\)-complete metric spaces and their consequences ⋮ New results on coupled fixed point theory in metric spaces endowed with a directed graph ⋮ GENERALIZED CONTRACTIONS IN METRIC SPACES FOR SIMULATION FUNCTION ENDOWED WITH A GRAPH ⋮ Existence of coupled fixed point via measure of noncompactness ⋮ On weakly commuting set-valued mappings on a domain of sets endowed with directed graph ⋮ Unnamed Item ⋮ Common fixed point of a power graphic contraction pair in partial metric spaces endowed with a graph ⋮ Unnamed Item ⋮ Common fixed points of set-valued \(F\)-contraction mappings on domain of sets endowed with directed graph ⋮ Common Fixed Points of Weakly Commuting Multivalued Mappings on a Domain of Sets Endowed with Directed Graph ⋮ Coupled common fixed point theorems for a pair of commuting mappings in partially ordered G-metric spaces ⋮ Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph ⋮ Qualitative properties of the solution of a system of operator inclusions in \(b\)-metric spaces endowed with a graph ⋮ Unnamed Item ⋮ Fixed point results for set-contractions on metric spaces with a directed graph ⋮ Unnamed Item ⋮ Fixed point theorems for generalized α- ψ type contractive mappings in b-metric spaces and applications ⋮ Common fixed points of set mappings endowed with directed graphs ⋮ Unnamed Item ⋮ Fixed point results for nonlinear contractions with application to integral equations ⋮ Common fixed point results for class of set-contraction mappings endowed with a directed graph ⋮ Reich type weak contractions on metric spaces endowed with a graph ⋮ On some fixed-point theorems for \(\psi\)-contraction on metric space involving a graph

Cites Work

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• Fixed point theorems for weakly contractive mappings in partially ordered sets
• IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem
• 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 for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
• Fixed point theorems in ordered abstract spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• The contraction principle for mappings on a metric space with a graph
• Generalized contractions in partially ordered metric spaces
• Fixed point theorems in ordered 𝐿-spaces

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