Strong convergence theorem for common zero points of inverse strongly monotone mappings and common fixed points of generalized demimetric mappings. (9th December 2022)

• Record Type: Journal Article
• Authors: Eslamian, Mohammad
• Is Part Of: Optimization. Volume 71:Number 14(2022)
• Page Start: 4265
• Page End: 4287
• Publication Date: 2022-12-09
• Subjects: Generalized demimetric mappings -- inverse strongly monotone -- variational inequality -- multiple-set split feasibility problem; 47H09 -- 47J20 -- 49J30; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2021.1939341
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, we introduce a new and efficient algorithm for finding a common element of the set of common fixed points of a finite family of generalized demimetric mappings and the set of common zero points of a finite family of inverse strongly monotone mappings in Hilbert spaces. Strong convergence of the proposed algorithm is established under standard and mild conditions in a Hilbert space. As an application, we use our algorithm for solving the common solutions to the variational inequality problem, the common minimization problem, the multiple-set split feasibility problem, the split common fixed point problem and the split common null point problem.