A local fixed point theorem for set-valued mappings on partial metric spaces

Abdessalem Benterki

Algeria

University of Blida ; University of Medea

LAMDA-RO Laboratory, Department of Mathematics

LMP2M Laboratory

Submitted: 2015-10-14

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Accepted: 2016-02-07

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Published: 2016-04-12

DOI: https://doi.org/10.4995/agt.2016.4163

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Keywords:

Partial metric space, fixed point, set-valued mapping

Supporting agencies:

This research was not funded

Abstract:

The purpose of this paper is to study the existence and location of fixed points for pseudo-contractive-type set-valued mappings in the setting of partial metric spaces by using Bianchini-Grundolfi gauge functions.

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