𝒥ℋℛ-Operator Pairs in C*-Algebra-Valued Modular Metric Spaces and Related Fixed Point Results with Application. (10th December 2018)

• Record Type: Journal Article
• Authors: Moeini, Bahman; Ansari, Arslan Hojat; Park, Choonkil
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 16(2018)
• Page Start: 1785
• Page End: 1805
• Publication Date: 2018-12-10
• Subjects: C*-algebra-valued modular metric space -- common fixed point -- integral equation -- JHR-operator pair -- modular metric space -- weakly compatible; Primary 47H10 -- 54H25 -- 46L05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1501061
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we introduce and define a concept ofJ H R -operator pair as a pair of non-commuting mappings in a C *-algebra-valued modular metric space. Next, some common fixed point theorems are established for such mappings. Also, to support and elaborate our results, some examples are given and an application is provided for a system of integral equations.