Some Compatible and Weakly-Compatible Four Self-Mapping Results Approach to Nonlinear Integral Equations in Fuzzy Cone Metric Spaces. (10th December 2021)

• Record Type: Journal Article
• Authors: Rehman, Saif Ur; Yazbek, Hawraa Akram; Bantan, Rashad A. R.; Elgarhy, Mohammed
• Other Names: Akeroyd John R. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-12-10
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/7641303
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper is aimed at proving some unique common fixed point theorems by using the compatible and weakly-compatible four self-mappings in fuzzy cone metric (FCM) space. We prove the results under the generalized rational contraction conditions in FCM spaces with the help of one self-map are continuous. Furthermore, we prove some rational contraction results with the weaker condition of the self-mapping continuity. Ultimately, our theoretical work has been utilized to prove the existence solution of the two nonlinear integral equations. This is an illustrative application of how FCM spaces can be used in other integral type operators.