Convergence of Hybrid Steepest-Descent Methods for Generalized Variational Inequalities

作     者：Liu Chuan ZENG N. C. Wong J. C. YAO 

作者机构：Department of Mathematics Shanghai Normal University Shanghai 200234 P. R. China Department of Applied Mathematics National Sun Yat-sen University Kaohsiung Taiwan 804 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第1期

页      面：1-12页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Dawn Program Foundation in Shanghai National Science Council, NSC Ministry of Education of the People's Republic of China, MOE Shanghai Leading Academic Discipline Project, (T0401) 

主　　题：iterative algorithms hybrid steepest-descent methods nonexpansive mappings Hilbert space Constrained generalized pseudo-inverse 

摘      要：In this paper, we consider the generalized variational inequality GVI（F, g, C）, where F and g are mappings from a Hilbert space into itself and C is the fixed point set of a nonexpansive mapping. We propose two iterative algorithms to find approximate solutions of the GVI（F,g, C）. Strong convergence results are established and applications to constrained generalized pseudo-inverse are included.