Fixed Point Theorems for Monotone Caristi Inward Mappings. (27th July 2018)

• Record Type: Journal Article
• Authors: Alfuraidan, Monther Rashed; Jorquera, Eduardo Daniel; Khamsi, Mohamed Amine
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 10(2018)
• Page Start: 1092
• Page End: 1101
• Publication Date: 2018-07-27
• Subjects: Caristi -- contraction mapping -- fixed point -- inward mapping -- monotone mapping -- multivalued mapping -- partially ordered metric space; Primary 47H09 -- Secondary 46B20 -- 47H10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1478426
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we introduce the monotone Caristi inward mappings. As an example, we show that monotone inward contraction mappings are monotone Caristi inward mappings. A general fixed point theorem for such mappings is given. A mutlivalued version of these results is also introduced.