Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces. (25th January 2023)

• Record Type: Journal Article
• Authors: Balooee, Javad; Chang, Shih-sen; Liu, Min; Zhu, Jinhua
• Is Part Of: Numerical functional analysis and optimization. Volume 44:Number 2(2023)
• Page Start: 138
• Page End: 159
• Publication Date: 2023-01-25
• Subjects: Convergence analysis -- Iterative algorithm -- P-η-accretive mapping -- resolvent operator technique -- system of generalized multi-valued variational-like inclusions; 47H05 -- 47H09 -- 47J20 -- 47J22; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2163502
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The main purpose of this paper is to construct a new iterative algorithm using the notion of P - η -resolvent operator for solving a new system of generalized multi-valued variational-like inclusions in the setting of Banach spaces. As an application of the constructed algorithm, the strong convergence of the sequences generated by our proposed iterative algorithm to a solution of the system of generalized multi-valued variational-like inclusions is proved.