The contraction principle for multivalued mappings on a modular metric space with a graph

Monther Rashed Alfuraidan

doi:10.4153/CMB-2015-029-x

The contraction principle for multivalued mappings on a modular metric space with a graph

Monther Rashed Alfuraidan^*

^*Corresponding author for this work

Department of Mathematics

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

12 Scopus citations

Abstract

We study the existence of fixed points for contraction multivalued mappings in modular metric spaces endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. This paper can be seen as a generalization of Nadler and Edelstein's fixed point theorems to modular metric spaces endowed with a graph.

Original language	English
Pages (from-to)	3-12
Number of pages	10
Journal	Canadian Mathematical Bulletin
Volume	59
Issue number	1
DOIs	https://doi.org/10.4153/CMB-2015-029-x
State	Published - Mar 2016

Bibliographical note

Publisher Copyright:
© Canadian Mathematical Society 2015.

Keywords

Connected digraph
Fixed point theory
Modular metric spaces
Multivalued contraction mapping

ASJC Scopus subject areas

General Mathematics

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10.4153/CMB-2015-029-x

Cite this

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abstract = "We study the existence of fixed points for contraction multivalued mappings in modular metric spaces endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. This paper can be seen as a generalization of Nadler and Edelstein's fixed point theorems to modular metric spaces endowed with a graph.",

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KW - Fixed point theory

KW - Modular metric spaces

KW - Multivalued contraction mapping

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The contraction principle for multivalued mappings on a modular metric space with a graph

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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