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

Arshad Ali Khan; Basit Ali; Reny George

doi:10.3934/math.20231215

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

Arshad Ali Khan, Basit Ali, Reny George

Mathematics

University of Management and Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	23835-23849
Number of pages	15
Journal	AIMS Mathematics
Volume	8
Issue number	10
DOIs	https://doi.org/10.3934/math.20231215
State	Published - 2023

Keywords

best proximity points
left (right) best proximity points
multivalued mappings
quasi metric

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10.3934/math.20231215

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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.",

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

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Keywords

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