Fixed point theorems for set-valued \(G\)-contractions in a graphical convex metric space with applications

DOI10.1007/s11784-020-00828-yzbMath1478.54052OpenAlexW3091765554MaRDI QIDQ2659577

Zhenhua Ma, Yanfeng Zhao, Ni Yang, Li Li Chen

Publication date: 26 March 2021

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

Full work available at URL: https://doi.org/10.1007/s11784-020-00828-y

zbMATH Keywords

set-valued mappingsfixed pointMann iterative schemeAgrawal iterative schemegraphical convex metric spaces

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical solutions to equations with nonlinear operators (65J15) Special maps on metric spaces (54E40)

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Convergence results based on graph-Reich contraction in fuzzy metric spaces with application ⋮ Stabilization of novel multi-layer networks with noise-based nonlinear superior couplings via aperiodically adaptive intermittent pinning control

Cites Work

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• Fixed points of Mizoguchi-Takahashi contraction on a metric space with a graph and applications
• Generic well-posedness of fixed point problems
• Well-posedness of fixed point problems
• Approximate selections, best approximations, fixed points, and invariant sets
• Equilibrium problems and applications
• Borsuk's antipodal fixed points theorems for compact or condensing set-valued maps
• Exponential stability of a class of nonlinear systems via fixed point theory
• Fixed point results for multivalued contractions on a metric space with a graph
• Iterative approximation of common attractive points of \((\alpha ,\beta )\)-generalized hybrid set-valued mappings
• Graphical metric space: a generalized setting in fixed point theory
• Multi-valued contraction mappings
• Multi-valued contraction mappings in generalized metric spaces
• A novel approach of graphical rectangular $b$-metric spaces with an application to the vibrations of a vertical heavy hanging cable
• Almost monotone contractions on weighted graphs
• Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
• Iteration processes for nonexpansive mappings
• A convexity in metric space and nonexpansive mappings. I.
• Nonexpansive iterations in hyperbolic spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Nonlinear Analysis - Theory and Methods
• WELL-POSEDNESS AND POROSITY OF A CERTAIN CLASS OF OPERATORS
• On Gregus-Ćirić mappings on weighted graphs
• The contraction principle for mappings on a metric space with a graph

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