Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spaces. (1st September 2022)

• Record Type: Journal Article
• Authors: Humaira, ; Sarwar, Muhammad; Mlaiki, Nabil
• Other Names: Kumar Santosh Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-09-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/2132957
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The goal of this paper is to extend the concept of complex-valued fuzzy metric space to complex-valued fuzzy b -metric spaces and to discuss various existence results for fixed points to ensure their existence and uniqueness. To demonstrate the viability of the proposed strategies, a nontrivial example is used. Finally, applications to integral equations and initial value problems in mechanical engineering are discussed to demonstrate the superiority of the obtained results.