Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words

Basit Ali; Muzammil Ali; Azhar Hussain; Reny George; Talat Nazir; Basit Ali; Muzammil Ali; Azhar Hussain; Reny George; Talat Nazir

doi:10.3934/math.2022909

AIMS Mathematics

2022, Volume 7, Issue 9: 16590-16611. doi: 10.3934/math.2022909

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Research article

Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words

1.
Department of Mathematics, School of Science, University of Management and Technology, C-Ⅱ, Johar Town, Lahore, 54770, Pakistan
2.
Department of Mathematics, University of Chakwal, Chakwal 48800, Pakistan
3.
Department of Mathematics, College of Science and Humanities in AlKharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
4.
Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa

Received: 22 March 2022 Revised: 18 June 2022 Accepted: 23 June 2022 Published: 11 July 2022
MSC : 47H09, 47H10, 54H25

This paper deals with the existence and uniqueness of the best proximity points of nonself-mappings in the context of non-Archimedean fuzzy metric spaces. The existence of different proximal quasi-contractive mappings allowed us to generalize some results concerning the existence and uniqueness of the best proximity points in the existing literature. Moreover, an application in computer science, particularly in the domain of words has been provided.
- best proximity point,
- quasi-contraction,
- fuzzy contractive mapping
Citation: Basit Ali, Muzammil Ali, Azhar Hussain, Reny George, Talat Nazir. Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words[J]. AIMS Mathematics, 2022, 7(9): 16590-16611. doi: 10.3934/math.2022909

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Abstract

This paper deals with the existence and uniqueness of the best proximity points of nonself-mappings in the context of non-Archimedean fuzzy metric spaces. The existence of different proximal quasi-contractive mappings allowed us to generalize some results concerning the existence and uniqueness of the best proximity points in the existing literature. Moreover, an application in computer science, particularly in the domain of words has been provided.

References

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