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

Canadian mathematical bulletin

Monther Rashed Alfuraidan¹ 

[1] Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

关键词: fixed point theory;    modular metric spaces;    multivalued contraction mapping;    connected digraph.;   

DOI  :  10.4153/CMB-2015-029-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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's and Edelstein's fixedpoint theorems to modular metric spaces endowed with a graph.

【 授权许可】

Unknown