On Some Fixed Point Results in E−Fuzzy Metric Spaces. (20th September 2021)

• Record Type: Journal Article
• Authors: Mecheraoui, Rachid; Mitrović, Zoran D.; Parvaneh, Vahid; Aydi, Hassen; Saleem, Naeem
• Other Names: Jaballah Ali Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-09-20
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/9196642
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of fuzzy metric spaces in which both theorems remain true without the need of any additional condition. We demonstrate the wide validity of the new class.