Quadruple Best Proximity Points with Applications to Functional and Integral Equations. (6th May 2022)

• Record Type: Journal Article
• Authors: Hammad, Hasanen A.; Rashwan, Rashwan A.; Nafea, A.; Jarad, Fahd
• Other Names: Shmarev Sergey Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2022(2022)
• Publication Date: 2022-05-06
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2022/1849891
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : This manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our study. Also, under suitable conditions, some quadruple fixed point results are presented. Finally, as applications, the existence and uniqueness of a solution to a system of functional and integral equations are obtained to promote our paper.