Best Proximity Points of Multivalued Hardy-Roger’s Type (Cyclic) Contractive Mappings of b-Metric Spaces

Author:

Ali Basit1ORCID,Khan Arshad Ali1ORCID,Hussain Azhar2ORCID

Affiliation:

1. Department of Mathematics, School of Science (SSc), University of Management and Technology (UMT), C-II, Johar Town, Lahore 54770, Pakistan

2. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

Abstract

In this article, we introduce a new type of generalized multivalued Hardy and Roger’s type proximal contractive and proximal cyclic contractive mappings of b -metric spaces and develop some results for the existence of best proximity point(s). Moreover, we obtain some results for the existence and uniqueness of best proximity points for single-valued mappings. Examples are given to explain the main results.

Publisher

Hindawi Limited

Subject

General Mathematics

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