An Interior Projected-Like Subgradient Method for Mixed Variational Inequalities. (15th May 2014)

• Record Type: Journal Article
• Authors: Tang, Guo-ji; Wang, Xing
• Other Names: Long Xian-Jun Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-05-15
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/607509
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : An interior projected-like subgradient method for mixed variational inequalities is proposed in finite dimensional spaces, which is based on using non-Euclidean projection-like operator. Under suitable assumptions, we prove that the sequence generated by the proposed method converges to a solution of the mixed variational inequality. Moreover, we give the convergence estimate of the method. The results presented in this paper generalize some recent results given in the literatures.