Coincidence point theorems for $\varphi$-$\psi$-contraction mappings in metric spaces involving a graph

DOI10.15330/CMP.8.2.251-262zbMath1489.54251OpenAlexW2566717098MaRDI QIDQ2968023

Mehmet Kır, Hukmi Kiziltunç, Esra Yolacan

Publication date: 9 March 2017

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.8.2.251-262

zbMATH Keywords

directed graphcoupled fixed pointcoupled coincidence pointedge preserving

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Coupled coincidence and coupled common fixed point theorems on a metric space with a graph
• New results on coupled fixed point theory in metric spaces endowed with a directed graph
• Common coupled fixed point theorems for \(\theta\)-\(\psi\)-contraction mappings endowed with a directed graph
• Fixed point theorems for Reich type contractions on metric spaces with a graph
• Coupled fixed points in partially ordered metric spaces and application
• The contraction principle for set valued mappings on a metric space with a graph
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• The contraction principle for mappings on a modular metric space with a graph
• Fixed point theorems in partially ordered metric spaces and applications
• The Contraction Principle for Multivalued Mappings on a Modular Metric Space with a Graph
• The contraction principle for mappings on a metric space with a graph

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