Approximating a Solution of the Inclusion Problem for an Infinite Family of Monotone Operators in Hadamard Spaces and Its Applications. (12th March 2022)

• Record Type: Journal Article
• Authors: Ranjbar, Sajad
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 4(2022)
• Page Start: 412
• Page End: 429
• Publication Date: 2022-03-12
• Subjects: Proximal point algorithm -- inclusion problem -- monotone operator -- Hadamard space -- convex optimization -- fixed point theory; 47H09 -- 47H10 -- 47H05 -- 47J05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2042015
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, a solution to the inclusion problem for an infinite family of monotone operators in Hadamard spaces is approximated. Strong convergence and Δ-convergence to a common zero of an infinite family of monotone operators are established. To support these results, some applications in convex optimization and fixed point theory are also presented.