Best Proximity Points and Fixed Points Results for Noncyclic and Cyclic Fisher Quasi-contractions. (4th April 2019)

• Record Type: Journal Article
• Authors: Safari-Hafshejani, Akram; Amini-Harandi, Alireza; Fakhar, Majid
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 5(2019)
• Page Start: 603
• Page End: 619
• Publication Date: 2019-04-04
• Subjects: Best proximity point -- fixed point -- noncyclic and cyclic Fisher quasi-contraction mappings -- WUC property; 47H10 -- 47H09 -- 47H09; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1566246
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this article, in the setting of metric spaces we introduce the notions of noncyclic and cyclic Fisher quasi-contraction mappings. We establish the existence of an optimal pair of fixed points for a noncyclic Fisher quasi-contraction mapping and iterative algorithms are furnished to determine such optimal pair of fixed points. For a cyclic Fisher quasi-contraction mapping, we also study the existence of best proximity points. Presented results extend and improve some recent results in the literature.