Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems. (2nd January 2018)

• Record Type: Journal Article
• Authors: Thong, Duong Viet; Hieu, Dang Van
• Is Part Of: Optimization. Volume 67:Number 1(2018)
• Page Start: 83
• Page End: 102
• Publication Date: 2018-01-02
• Subjects: Subgradient extragradient method -- extragradient method -- Mann-like method -- variational inequality problem -- fixed point problem -- demicontractive mapping; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2017.1377199
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: The subgradient extragradient method can be considered as an improvement of the extragradient method for variational inequality problems for the class of monotone and Lipschitz continuous mappings. In this paper, we propose two new algorithms as combination between the subgradient extragradient method and Mann-like method for finding a common element of the solution set of a variational inequality and the fixed point set of a demicontractive mapping.