Some α−ϕ-Fuzzy Cone Contraction Results with Integral Type Application. (19th October 2021)

• Record Type: Journal Article
• Authors: Rehman, Saif Ur; Jabeen, Shamoona; Khan, Sami Ullah; Jaradat, Mohammed M. M.
• Other Names: Saleem Naeem Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-10-19
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/1566348
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we define α -admissible and α -ϕ -fuzzy cone contraction in fuzzy cone metric space to prove some fixed point theorems. Some related sequences with contraction mappings have been discussed. Ultimately, our theoretical results have been utilized to show the existence of the solution to a nonlinear integral equation. This application is also illustrative of how fuzzy metric spaces can be used in other integral type operators.