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

doi:10.3934/math.2022909

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

Mathematics

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

3 Scopus citations

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.

Original language	English
Pages (from-to)	16590-16611
Number of pages	22
Journal	AIMS Mathematics
Volume	7
Issue number	9
DOIs	https://doi.org/10.3934/math.2022909
State	Published - 2022

Keywords

best proximity point
fuzzy contractive mapping
quasi-contraction

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10.3934/math.2022909

Cite this

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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.",

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AU - Nazir, Talat

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AB - 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.

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

Abstract

Keywords

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