Inexact Infinite Products of Weak Quasi-Contraction Mappings in b-Metric Spaces. (9th September 2020)

• Record Type: Journal Article
• Authors: Gupta, Anuradha; Rohilla, Manu
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 12(2020)
• Page Start: 1528
• Page End: 1547
• Publication Date: 2020-09-09
• Subjects: b-metric space -- inexact orbit -- infinite product -- weak ergodic theorems -- weak quasi-contraction mapping; 47H09 -- 47H10 -- 47A35; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1777422
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The influence of errors on the convergence of infinite products of weak quasi-contraction mappings in b -metric spaces is explored. An example demonstrating the necessity of convergence of the sequence of computational errors to zero is also provided. Moreover, we discuss weak ergodic theorems in the setting of b -metric spaces.