A cyclic iterative method for solving a class of variational inequalities in Hilbert spaces. (3rd October 2018)

• Record Type: Journal Article
• Authors: Tuyen, Truong Minh
• Is Part Of: Optimization. Volume 67:Number 10(2018)
• Page Start: 1769
• Page End: 1796
• Publication Date: 2018-10-03
• Subjects: Variational inequality -- sequence of nearly non-expansive mappings -- common fixed point -- common null point; 47H06 -- 47H09 -- 47H10 -- 47J25; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1502768
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: The purpose of this paper is to introduce a new iterative method for solving a variational inequality over the set of common fixed points of a finite family of sequences of nearly non-expansive mappings in a real Hilbert space. And, using this result, we give some applications to the problem of finding a common fixed point of non-expansive mappings or non-expansive semigroups and the problem of finding a common null point of monotone operators.