Some fixed point results for fuzzy generalizations of Nadler’s contraction in b-metric spaces

Shazia Kanwal; Abdullah Al Mazrooei; Gustavo Santos-Garcia; Muhammad Gulzar

doi:10.3934/math.2023515

Some fixed point results for fuzzy generalizations of Nadler’s contraction in b-metric spaces

Shazia Kanwal
, Abdullah Al Mazrooei
, Gustavo Santos-Garcia^*
, Muhammad Gulzar

^*Corresponding author for this work

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

2 Scopus citations

Abstract

The main purpose of this study is to examine the existence of fuzzy fixed points of fuzzy mappings meeting the criteria of some generalized contractions of Nadler’s type in the framework of complete b-metric spaces. From the pertinent literature, there are additional previous observations that are provided as corollaries. Our study expands and incorporates several implications that are apparent in this mode and are addressed in considerable literature.

Original language	English
Pages (from-to)	10177-10195
Number of pages	19
Journal	AIMS Mathematics
Volume	8
Issue number	5
DOIs	https://doi.org/10.3934/math.2023515
State	Published - 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 the Author(s), licensee AIMS Press.

Keywords

Hausdorff metric space
Nadler’s contraction
fuzzy fixed point
fuzzy mapping
fuzzy sets

ASJC Scopus subject areas

General Mathematics

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10.3934/math.2023515

Cite this

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abstract = "The main purpose of this study is to examine the existence of fuzzy fixed points of fuzzy mappings meeting the criteria of some generalized contractions of Nadler{\textquoteright}s type in the framework of complete b-metric spaces. From the pertinent literature, there are additional previous observations that are provided as corollaries. Our study expands and incorporates several implications that are apparent in this mode and are addressed in considerable literature.",

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AU - Santos-Garcia, Gustavo

AU - Gulzar, Muhammad

PY - 2023

Y1 - 2023

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AB - The main purpose of this study is to examine the existence of fuzzy fixed points of fuzzy mappings meeting the criteria of some generalized contractions of Nadler’s type in the framework of complete b-metric spaces. From the pertinent literature, there are additional previous observations that are provided as corollaries. Our study expands and incorporates several implications that are apparent in this mode and are addressed in considerable literature.

KW - Hausdorff metric space

KW - Nadler’s contraction

KW - fuzzy fixed point

KW - fuzzy mapping

KW - fuzzy sets

UR - https://www.scopus.com/pages/publications/85149230024

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DO - 10.3934/math.2023515

M3 - Article

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ER -

Some fixed point results for fuzzy generalizations of Nadler’s contraction in b-metric spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this