Title :
Convergence of Hybrid Steepest-Descent Methods with Wn-mapping for Generalized Variational Inequalities
Author :
Chen Xiaomin ; Xie Xuping
Author_Institution :
Dept. of Inf. & Comput. Sci., Chengdu Electromech. Coll., Chengdu, China
Abstract :
In this paper, we consider the generalized variational inequality, to obtain its convergence theorem, we introduce iterative algorithm with infinite nonexpansive mapping to find approximate solution of the GVI (F, g, C). Strong convergence theorems are established under some suitable conditions.
Keywords :
Hilbert spaces; approximation theory; convergence of numerical methods; gradient methods; iterative methods; variational techniques; Wn-mapping; approximate solution; convergence theorem; generalized variational inequality; hybrid steepest-descent method; infinite nonexpansive mapping; iterative algorithm; Approximation methods; Convergence; Educational institutions; Hilbert space; Iterative methods; Optimization; Parallel algorithms; Fixed Point; Iteration Algorithm; Nonlinear Analysis; Variational Inequalities;
Conference_Titel :
Computer Science and Electronics Engineering (ICCSEE), 2012 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4673-0689-8
DOI :
10.1109/ICCSEE.2012.30
