Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities. (2nd November 2019)

• Record Type: Journal Article
• Authors: Thong, Duong Viet; Vuong, Phan Tu
• Is Part Of: Optimization. Volume 68:Number 11(2019)
• Page Start: 2207
• Page End: 2226
• Publication Date: 2019-11-02
• Subjects: Forward–Backward–Forward method -- extragradient method -- Mann-type method -- variational inequality -- pseudo-monotone operator; 47H09 -- 47J20 -- 47J05 -- 47J25; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2019.1616191
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: We propose two modified Tseng's extragradient methods (also known as Forward–Backward–Forward methods) for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under mild and standard conditions, we obtain the weak and strong convergence of the proposed methods. Numerical examples for illustrating the behaviour of the proposed methods are also presented