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Research Article | Open Access

On semi best proximity points for multivalued mappings in quasi metric spaces

Arshad Ali Khan1, Basit Ali1, Reny George2( )
Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan
Department of Mathematics, College of Science and Humanities in AlKharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
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Abstract

Due to the lack of symmetry property for the quasi metrics, we have considered left and right versions of best proximity points of multivalued mappings of quasi metric spaces. Further we consider the problem of existence of semi (left and right) best proximity points of generalized multivalued contractions of quasi metric spaces via various versions of so called p −property. Some examples are given to explain the results.

Keywords

best proximity pointsleft (right) best proximity pointsquasi metricmultivalued mappings
CLC number: 47H10, 47H04, 47H09, 90C26

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 23835-23849
DOI: 10.3934/math.20231215

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Cite this article:
Khan AA, Ali B, George R. On semi best proximity points for multivalued mappings in quasi metric spaces. AIMS Mathematics, 2023, 8(10): 23835-23849. https://doi.org/10.3934/math.20231215

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Received: 27 February 2023
Revised: 28 April 2023
Accepted: 08 May 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)