Exploring Fuzzy Fixed Points of γ ‐Fuzzy Contractions in b ‐Metric Spaces
Open Access
- 1 January 2025
- journal article
- Published by Wiley in Journal of Mathematics
- Vol. 2025 (1)
Abstract
This paper explores the significance and implications of common γ ‐fuzzy fixed point results related to γ ‐fuzzy contraction as a novel form of contraction in complete b ‐metric space. Theoretical developments and theorems provide a solid foundation for understanding utilization of the properties of γ ‐fuzzy contraction, showcasing its efficiency through numerous examples and establishing stability and convergence properties. Moreover, some conventional fixed point results are incorporated as the direct consequences of our main findings.Keywords
This publication has 13 references indexed in Scilit:
- Fuzzy fixed point theorems for multivalued fuzzy contractions in b -metric spacesJournal of Nonlinear Sciences and Applications, 2015
- On locally contractive fuzzy set-valued mappingsJournal of Inequalities and Applications, 2014
- Fuzzy common fixed point theorems for generalized contractive mappingsApplied Mathematics Letters, 2010
- Some coincidence theorems and stability of iterative proceduresComputers & Mathematics with Applications, 2008
- Fuzzy contractive maps and fuzzy fixed pointsFuzzy Sets and Systems, 2002
- Fixed points for fuzzy mappingsFuzzy Sets and Systems, 1982
- Fuzzy mappings and fixed point theoremJournal of Mathematical Analysis and Applications, 1981
- Fixed points, separation, and induced topologies for fuzzy setsJournal of Mathematical Analysis and Applications, 1975
- Multi-valued contraction mappingsPacific Journal of Mathematics, 1969
- Zur Theorie der GesellschaftsspieleMathematische Annalen, 1928