Remarks on Caristi’s fixed point theorem in metric spaces with a graph

Monther Rashed Alfuraidan

doi:10.1186/1687-1812-2014-240

Remarks on Caristi’s fixed point theorem in metric spaces with a graph

Monther Rashed Alfuraidan^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We discuss some extensions of Caristi’s fixed point theorem for mappings defined on a metric space endowed with a graph. This work should be seen as a generalization of the classical Caristi’s fixed point theorem where the assumptions in Caristi’s theorem can, a priori, be weakened. It extends some recent works on Caristi’s fixed point theorem for mappings defined on metric spaces with a graph. MSC: Primary 47H09; secondary 46B20; 47H10; 47E10.

Original language	English
Article number	240
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2014
Issue number	1
DOIs	https://doi.org/10.1186/1687-1812-2014-240
State	Published - 26 Dec 2014

Bibliographical note

Publisher Copyright:
© 2014, Alfuraidan; licensee Springer.

Keywords

Banach contraction principle
Caristi
acyclic digraph
directed graph
fixed point
partially ordered metric spaces

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/1687-1812-2014-240

Cite this

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KW - Banach contraction principle

KW - Caristi

KW - acyclic digraph

KW - directed graph

KW - fixed point

KW - partially ordered metric spaces

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Remarks on Caristi’s fixed point theorem in metric spaces with a graph

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this