Fixed point results for generalized contraction mappings and cyclical mappings in \(b\)-metric spaces endowed with a digraph

DOI10.2478/AWUTM-2019-0017OpenAlexW3115920049MaRDI QIDQ2678679

Deep Biswas, Sushanta Kumar Mohanta

Publication date: 24 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/awutm-2019-0017

zbMATH Keywords

fixed pointdigraph\(b\)-metriccyclical mappings

Mathematics Subject Classification ID

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

Cites Work

• Coincidence point theorems for graph-preserving multi-valued mappings
• Fixed point results on subgraphs of directed graphs
• The contraction principle for set valued mappings on a metric space with a graph
• Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory
• KKM mappings in metric type spaces
• Caristi fixed point theorem in metric spaces with a graph
• Fixed point theorems on a metric space endowed with an arbitrary binary relation and applications
• Common fixed points of almost generalized \((\psi,\phi)_s\)-contractive mappings in ordered \(b\)-metric spaces
• On the topology and \(wt\)-distance on metric type spaces
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• A short and constructive proof of Tarski's fixed-point theorem
• Fixed point theory for cyclic \(\varphi\)-contractions
• The contraction principle for mappings on a metric space with a graph
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