SOME COMMON REVISED FUZZY FIXED POINT THEOREMS ON G-METRIC SPACE

The objective of this paper is to investigate and generalize fuzzy fixed point theorems within the framework of $G$-metric spaces a class of generalized metric spaces that provide a versatile structure for analyzing fixed point results in more flexible and abstract settings. By revisiting several classical fuzzy fixed point theorems, this study establishes new generalized versions that are specifically adapted to the inherent properties of $G$-metric spaces. These generalizations not only strengthen and extend existing results but also enhance their applicability to a broader spectrum of problems characterized by uncertainty and imprecision, which are frequently encountered in practical contexts. The outcomes of this research underscore the significance of integrating fuzzy logic with advanced structures in metric space theory, offering meaningful contributions to the mathematical foundations that support applications in engineering, applied sciences, and related fields.

Authors

Publication Details

Journal
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES
Published
2025-06-30
DOI
https://doi.org/10.56827/jrsmms.2025.1202.5
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

SOME COMMON REVISED FUZZY FIXED POINT THEOREMS ON G-METRIC SPACE

Manish N. Shah, Th. Chhatrajit Singh, Lakhan Singh
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES
Fixed Point Theorems Analysis
article

SOME COMMON REVISED FUZZY FIXED POINT THEOREMS ON G-METRIC SPACE

Manish N. Shah, Th. Chhatrajit Singh, Lakhan Singh
article en

Abstract

The objective of this paper is to investigate and generalize fuzzy fixed point theorems within the framework of $G$-metric spaces a class of generalized metric spaces that provide a versatile structure for analyzing fixed point results in more flexible and abstract settings. By revisiting several classical fuzzy fixed point theorems, this study establishes new generalized versions that are specifically adapted to the inherent properties of $G$-metric spaces. These generalizations not only strengthen and extend existing results but also enhance their applicability to a broader spectrum of problems characterized by uncertainty and imprecision, which are frequently encountered in practical contexts. The outcomes of this research underscore the significance of integrating fuzzy logic with advanced structures in metric space theory, offering meaningful contributions to the mathematical foundations that support applications in engineering, applied sciences, and related fields.

JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCESVol. 12(2)
Openalex Percentile: Top 72%
Fixed Point Theorems Analysis
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