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

Arshad Ali Khan; Basit Ali; Reny George; Arshad Ali Khan; Basit Ali; Reny George

doi:10.3934/math.20231215

AIMS Mathematics

2023, Volume 8, Issue 10: 23835-23849. doi: 10.3934/math.20231215

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Research article

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

1.
Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan
2.
Department of Mathematics, College of Science and Humanities in AlKharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Received: 27 February 2023 Revised: 28 April 2023 Accepted: 08 May 2023 Published: 07 August 2023
MSC : 47H10, 47H04, 47H09, 90C26

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.
- best proximity points,
- left (right) best proximity points,
- quasi metric,
- multivalued mappings
Citation: Arshad Ali Khan, Basit Ali, Reny George. On semi best proximity points for multivalued mappings in quasi metric spaces[J]. AIMS Mathematics, 2023, 8(10): 23835-23849. doi: 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.

References

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