Metric Fixed Point Theory in Spaces with a Graph

Monther Rashed Alfuraidan

doi:10.1016/B978-0-12-804295-3.50007-3

Metric Fixed Point Theory in Spaces with a Graph

Monther Rashed Alfuraidan^*

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

In this chapter, we discuss a new area that overlaps between metric fixed point theory and graph theory. This new area yields interesting generalizations of the Banach contraction principle in metric and modular spaces endowed with a graph. The bridge between both theories is motivated by the fact that they often arise in industrial fields such as image processing engineering, physics, computer science, economics, ladder networks, dynamic programming, control theory, stochastic filtering, statistics, telecommunications and many other applications.

Original language	English
Title of host publication	Fixed Point Theory and Graph Theory
Subtitle of host publication	Foundations and Integrative Approaches
Publisher	Elsevier Inc.
Pages	287-363
Number of pages	77
ISBN (Electronic)	9780128043653
ISBN (Print)	9780128042953
DOIs	https://doi.org/10.1016/B978-0-12-804295-3.50007-3
State	Published - 10 Jun 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc. All rights reserved.

Keywords

Banach contraction principle
Caristi's fixed point theorem
Graph theory
Hyperbolic metric spaces
Metric fixed point theory
Monotone multivalued mappings
Monotone nonexpansive mappings
Monotone quasi-contraction
Nieto and Rodriguez-López fixed point theorem
Ran and Reurings fixed point theorem

ASJC Scopus subject areas

General Mathematics

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10.1016/B978-0-12-804295-3.50007-3

Cite this

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KW - Banach contraction principle

KW - Caristi's fixed point theorem

KW - Graph theory

KW - Hyperbolic metric spaces

KW - Metric fixed point theory

KW - Monotone multivalued mappings

KW - Monotone nonexpansive mappings

KW - Monotone quasi-contraction

KW - Nieto and Rodriguez-López fixed point theorem

KW - Ran and Reurings fixed point theorem

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M3 - Chapter

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SN - 9780128042953

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EP - 363

BT - Fixed Point Theory and Graph Theory

PB - Elsevier Inc.

ER -

Metric Fixed Point Theory in Spaces with a Graph

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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