Partial metric on space of subsets

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Mohamad Muslikh

2015 Global Journal of Pure and Applied Mathematics Vol. 11 Issue 5 Article Cited by 4 Quartile

Abstract

This article introduced the concept of the Hausdroff partial metric. By using the Hausdorff partial metric we study the fixed point theory for set-valued mappings on partial metric spaces. Fixed point theorem that has been resulting by Nadler for set-valued mapping will be extended to partial metric spaces and the proof using Ekeland variational principle. © Research India Publications.

Affiliations

Departement of Mathematics, University of Brawijaya, Malang, Indonesia