Fixed-Point Theorems in Fuzzy Metric Spaces via Fuzzy F -Contraction

Huaping Huang, Biljana Carić, Tatjana Došenović, Dušan Rakić and Mirjana Brdar
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Huaping Huang: School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China
Biljana Carić: Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia
Tatjana Došenović: Faculty of Technology Novi Sad, University of Novi Sad, Bulevar cara Lazara 1, 21000 Novi Sad, Serbia
Dušan Rakić: Faculty of Technology Novi Sad, University of Novi Sad, Bulevar cara Lazara 1, 21000 Novi Sad, Serbia
Mirjana Brdar: Faculty of Technology Novi Sad, University of Novi Sad, Bulevar cara Lazara 1, 21000 Novi Sad, Serbia

Mathematics, 2021, vol. 9, issue 6, 1-10

Abstract: The purpose of this paper is to introduce a new type of contraction called fuzzy F -contraction. As compared to the F -contraction in the existing literature, our fuzzy F -contraction is much simpler and more straightforward, since it contains only one condition—that is, the function F is strictly increasing. Moreover, some fixed-point theorems for fuzzy F -contraction are presented. Further, some examples are given to illustrate its validity and superiority. In addition, by applying a very significant lemma, we show that our proofs of most fixed-point theorems are shorter and more elegant than ones in the literature.

Keywords: fixed-point; fuzzy metric space; t -norm; fuzzy F -contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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