Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application. (18th August 2021)

• Record Type: Journal Article
• Authors: Rehman, Saif Ur; Talha Waheed, Muhammad; Jan, Naeem; Gumaei, Abdu; Al-Rakhami, Mabrook
• Other Names: Isik Huseyin Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-08-18
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/4764441
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we establish the new concept of rational coupled fuzzy cone contraction mapping in fuzzy cone metric spaces and prove some unique rational-type coupled fixed-point theorems in the framework of fuzzy cone metric spaces by using "the triangular property of fuzzy cone metric." To ensure the existence of our results, we present some illustrative unique coupled fixed-point examples. Furthermore, we present an application of a Lebesgue integral-type contraction mapping in fuzzy cone metric spaces and to prove a unique coupled fixed-point theorem.