Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space. (3rd December 2021)

• Record Type: Journal Article
• Authors: Farheen, Misbah; Kamran, Tayyab; Hussain, Azhar
• Other Names: Isik Huseyin Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-12-03
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/1373945
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we introduce fuzzy multiplicative metric space and prove some best proximity point theorems for single-valued and multivalued proximal contractions on the newly introduced space. As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point theorems for Feng-Liu-type multivalued proximal contraction in fuzzy metric space. Moreover, we illustrate our results with some interesting examples.