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The Contraction Principle for Multivalued Mappings on a Modular Metric Space with a Graph

Published online by Cambridge University Press:  20 November 2018

Monther Rashed Alfuraidan
Monther Rashed Alfuraidan*
Affiliation:
Department of Mathematics & Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia e-mail: monther@kfupm.edu.sa
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Abstract

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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.

Keywords

47H0946B2047H1047E10fixed point theorymodularmetric spacesmultivalued contractionmappingconnected digraph
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 1 , 01 March 2016 , pp. 3 - 12
Copyright
Copyright © Canadian Mathematical Society 2016

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