New results on coupled fixed point theory in metric spaces endowed with a directed graph

DOI10.1186/1687-1812-2014-151zbMath1347.54070OpenAlexW2170235730WikidataQ59321592 ScholiaQ59321592MaRDI QIDQ287918

Cristian Chifu, Gabriela Petrusel

Publication date: 23 May 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-151

zbMATH Keywords

fixed pointmetric spaceconnected graphcoupled fixed point

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Fredholm integral equations (45B05) Graph theory (05C99) Volterra integral equations (45D05)

Related Items (17)

Coupled coincidence and coupled common fixed point theorems on a metric space with a graph ⋮ Edge theoretic extended contractions and their applications ⋮ Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application ⋮ Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph ⋮ Common coupled fixed point theorems for \(\theta\)-\(\psi\)-contraction mappings endowed with a directed graph ⋮ Existence of coupled fixed point via measure of noncompactness ⋮ Common fixed point results for three and four mappings on vector-\(b\)-metric space with a graph ⋮ Coincidence point theorems for $\varphi$-$\psi$-contraction mappings in metric spaces involving a graph ⋮ 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 ⋮ Some results on N-tupled coincidence and fixed points of graphs on metric spaces and an application to integral equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed point theory in graph metric spaces ⋮ Unnamed Item ⋮ Endpoints of multi-valued weakly contraction in complete metric spaces endowed with graphs

Cites Work

• Generalized contractions in metric spaces endowed with a graph
• The contraction principle for set valued mappings on a metric space with a graph
• 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 in partially ordered metric spaces and applications
• 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

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