Journal ArticleDOI
Fixed points of an F-contraction on metric spaces with a graph
Rakesh Batra,Sachin Vashistha +1 more
TLDR
A new type of contraction on a metric space endowed with a graph is introduced and fixed point theorems that generalize some of the results related with G-contraction for a directed graph G are proved.Abstract:
We introduce a new type of contraction on a metric space endowed with a graph and prove fixed point theorems that generalize some of the results related with G-contraction for a directed graph G. Examples are given to justify that our contractions are more general than many others in this area.read more
Citations
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Journal ArticleDOI
New fixed point theorems for generalized F-contractions in complete metric spaces
TL;DR: In this paper, two new classes of functions M(S, T )a ndN(s, T), and some fixed point results for single-valued and multivalued mappings in complete metric spaces are presented.
Journal ArticleDOI
Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem
TL;DR: In this paper, an existence theorem for Volterra-type integral inclusion is established in b-metric spaces. And the fixed point theorem is a proper generalization of a recent fixed-point theorem by Cosentino et al.
Journal ArticleDOI
A survey: F-contractions with related fixed point results
TL;DR: In this paper, the authors provide a complete collection of fixed generalizations and extensions of F-contractions, as well as a survey of fixed point results for these generalizations in a different setting.
Journal ArticleDOI
Two Fixed Point Theorems Concerning F-Contraction in Complete Metric Spaces
Ovidiu Popescu,Gabriel Stan +1 more
TL;DR: Some results of Wardowski, Cosentino and Vetro, and Piri and Kumam theories are generalized by applying some weaker symmetrical conditions on the self map of a complete metric space and on the mapping F, concerning the contractions defined by Wardowski.
Journal ArticleDOI
A Coupled Fixed Point Technique for Solving Coupled Systems of Functional and Nonlinear Integral Equations
TL;DR: In this paper, coupled fixed point results for F-contraction mapping satisfying a nonlinear contraction condition in the framework of complete metric space without and with a directed graph were obtained.
References
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Journal ArticleDOI
A fixed point theorem in partially ordered sets and some applications to matrix equations
TL;DR: In this paper, an analogue of Banach's fixed point theorem in partially ordered sets is proved, and several applications to linear and nonlinear matrix equations are discussed, including the application of the Banach theorem to the Partially ordered Set (POPS) problem.
Journal ArticleDOI
Fixed point theorems in partially ordered metric spaces and applications
TL;DR: In this paper, a fixed point theorem for a mixed monotone mapping in a metric space endowed with partial order was proved, using a weak contractivity type of assumption, which can be used to investigate a large class of problems.
Journal ArticleDOI
Fixed points of a new type of contractive mappings in complete metric spaces
TL;DR: In this article, a new concept of contraction was introduced and a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature was proved.
Journal ArticleDOI
Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations
TL;DR: In this article, the Banach contractive mapping theorem for partially ordered sets is extended to nonincreasing mappings as well as non-monotone mappings, and the existence of a unique solution admitting a lower solution is proved.
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.
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