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

Monther Rashed Alfuraidan

doi:10.1186/s13663-015-0296-3

The contraction principle for 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

8 Scopus citations

Abstract

We give a generalization of the Banach contraction principle on a modular metric space 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 the modular metric version of Jachymski’s fixed point result for mappings on a metric space 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/s13663-015-0296-3
State	Published - 1 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Alfuraidan; licensee Springer.

Keywords

connected graph
contraction mapping
fixed point
modular metric spaces
Δ-condition

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

Access to Document

10.1186/s13663-015-0296-3

Cite this

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KW - Δ-condition

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this