Journal ArticleDOI
Multivalued generalized graphic θ-contraction on directed graphs and application to mixed volterra-fredholm integral inclusion equations
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In this paper, a generalized graphic θ-contraction condition on a family of mappings defined on subsets of a metric space endowed with a set-transitive directed generator is introduced.Abstract:
The purpose of the present work is to introduce a generalized graphic θ-contraction conditions on a family of mappings defined on subsets of a metric space endowed with a set-transitive directed gr...read more
References
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Journal ArticleDOI
The contraction principle for mappings on a metric space with a graph
TL;DR: In this article, the authors give generalizations of the Banach contraction principle to mappings on a metric space endowed with a graph, and give a theorem on the convergence of successive approximations for some linear operators on a Banach space.
Journal ArticleDOI
Some fixed point theorems for compatible mappings satisfying an implicit relation
Journal ArticleDOI
Fixed point theorems for Reich type contractions on metric spaces with a graph
TL;DR: In this paper, the notion of G -Reich type maps was defined and a fixed point theorem for such mappings was obtained for contractive type mappings on ordered metric spaces.
Proceedings ArticleDOI
Nonlinear contractive conditions: A comparison and related problems
Jacek Jachymski,Izabela Jóźwik +1 more
TL;DR: In this article, the authors give a list of nonlinear contractive conditions which turn out to be mutually equivalent and derive them from general lemmas concerning subsets of the plane which may be applied both in the single-or set-valued case as well as for a family of mappings.
Journal ArticleDOI
Some fixed point results on a metric space with a graph
TL;DR: In this article, the authors presented some iterative scheme results for G -contractive and G -none-expansive mappings on graphs, by using main idea of their work and the idea of combining fixed point theory and graph theory.
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