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

Alfuraidan, Monther Rashed

Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 3-12

Résumé

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.

Détail

DOI : 10.4153/CMB-2015-029-x

Mots-clés : 47H09, 46B20, 47H10, 47E10, fixed point theory, modularmetric spaces, multivalued contractionmapping, connected digraph

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