A projection-type method for solving multi-valued variational inequalities and fixed point problems. (2nd December 2017)

• Record Type: Journal Article
• Authors: Zhang, Lixin; Fang, Changjie; Chen, Shenglan
• Is Part Of: Optimization. Volume 66:Number 12(2017)
• Page Start: 2329
• Page End: 2344
• Publication Date: 2017-12-02
• Subjects: Projection-type method -- multi-valued variational inequality -- -strict pseudocontraction -- fixed point problem; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2017.1373774
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: In this paper, we introduce a projection algorithm for finding a common element of the set Fix ( T ) of fixed points of a -strict pseudocontraction mapping and the set S of solutions of a multi-valued variational inequality problem without monotonicity. We show that the sequence generated by our method is globally convergent to some common element of Fix ( T ) and S, provided that the mapping F is continuous with nonempty compact convex values. Preliminary numerical experiments are reported.