Fixed points of Mizoguchi-Takahashi contraction on a metric space with a graph and applications

DOI10.1016/J.JMAA.2014.03.015zbMath1368.54030OpenAlexW1972642137MaRDI QIDQ489017

Asrifa Sultana, Vellaichamy Vetrivel

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.015

zbMATH Keywords

graphfixed pointmetric spacemulti-valued map\(\varepsilon\)-chainable metric space

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (22)

Coincidence points of a sequence of multivalued mappings in metric space with a graph ⋮ The study of fixed points for multivalued mappings in a Menger probabilistic metric space endowed with a graph ⋮ Coincidence point and fixed point theorems for a new type of \(G\)-contraction multivalued mappings on a metric space endowed with a graph ⋮ On Browder's convergence theorem and Halpern iteration process for \(G\)-nonexpansive mappings in Hilbert spaces endowed with graphs ⋮ Fixed point theorems for generalized Mizoguchi-Takahashi graphic contractions ⋮ Unnamed Item ⋮ Fixed point theorems for set-valued \(G\)-contractions in a graphical convex metric space with applications ⋮ Convergence of Iterates of α-Bernstein Type Operators via Fixed Point of Generalized JS-Contraction Type Mappings ⋮ Recent contributions to fixed point theory of monotone mappings ⋮ Some fixed point results on ultrametric spaces endowed with a graph ⋮ Best proximity points of contractive mappings on a metric space with a graph and applications ⋮ The method for solving fixed point problem of \(G\)-nonexpansive mapping in Hilbert spaces endowed with graphs and numerical example ⋮ Rational type multivalued \(F_{G}\)-contractive mappings with a graph ⋮ On the Equivalence of the Mizoguchi-Takahashi Locally Contractive Map and the Nadler’s Locally Contractive Map ⋮ Fixed point theory in graph metric spaces ⋮ Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs ⋮ On coincidence point and fixed point theorems for a general class of multivalued mappings in incomplete metric spaces with an application ⋮ Endpoints of multi-valued weakly contraction in complete metric spaces endowed with graphs ⋮ Coincidence of multivalued mappings on metric spaces with a graph ⋮ A fixed point theorem for JS-contraction type mappings with applications to polynomial approximations ⋮ A unified Feng-Liu type result in relational metric spaces with an application ⋮ Graphical structure of double controlled metric-like spaces with an application

Cites Work

• Unnamed Item
• Fixed point theorems for Reich type contractions on metric spaces with a graph
• IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem
• Fixed point theorems for multivalued mappings on complete metric spaces
• The Hutchinson-Barnsley theory for certain non-contraction mappings
• Fixed point results for multivalued contractions on a metric space with a graph
• Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's
• Iterates of Bernstein polynomials
• Multi-valued contraction mappings
• An Extension of Banach's Contraction Principle
• The contraction principle for mappings on a metric space with a graph

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