Existence of Fuzzy Fixed Points and Common Fuzzy Fixed Points for FG -Contractions with Applications

Dur-e-Shehwar Sagheer, Zainab Rahman, Samina Batul, Ahmad Aloqaily and Nabil Mlaiki ()
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Dur-e-Shehwar Sagheer: Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan
Zainab Rahman: Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan
Samina Batul: Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan
Ahmad Aloqaily: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Nabil Mlaiki: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Mathematics, 2023, vol. 11, issue 18, 1-16

Abstract: This article contains results of the existence of fuzzy fixed points of fuzzy mappings that satisfy certain contraction conditions using the platform of partial b -metric spaces. Some non-trivial examples are provided to authenticate the main results. The constructed results in this work will likely stimulate new research directions in fuzzy fixed-point theory and related hybrid models. Eventually, some fixed-point results on multivalued mappings are established. These theorems provide an excellent application of main theorems on fuzzy mappings. The results of this article are extensions of many already existing results in the literature.

Keywords: partial b -metric space (pbMS); closed ball; multi-valued contraction; fuzzy sets (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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