Fixed points of monotone nonexpansive mappings with a graph

Monther Rashed Alfuraidan

doi:10.1186/s13663-015-0299-0

Fixed points of monotone nonexpansive mappings with a graph

Monther Rashed Alfuraidan^*

^*Corresponding author for this work

Department of Mathematics

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

34 Scopus citations

Abstract

In this paper, we study the existence of fixed points of monotone nonexpansive mappings defined in Banach spaces endowed with a graph. This work is a continuity of the previous results of Ran and Reurings, Nieto et al., and Jachimsky done for contraction mappings defined in metric spaces endowed with a graph.

Original language	English
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0299-0
State	Published - 1 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Alfuraidan; licensee Springer.

Keywords

Banach space
directed graph
fixed point
monotone nonexpansive mappings

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/s13663-015-0299-0

Cite this

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Fixed points of monotone nonexpansive mappings with a graph

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this