Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications
โ Scribed by Xiaolong Qin; Sun Young Cho; Shin Min Kang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 564 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper, we consider the problem of convergence of an iterative algorithm for a system of generalized variational inequalities and a nonexpansive mapping. Strong convergence theorems are established in the framework of real Banach spaces.
๐ SIMILAR VOLUMES
The purpose of this paper is to study the convergence problem of an iterative method for nonexpansive mappings in Banach spaces under some new control conditions on parameters.
In this paper, we introduce the iterative scheme due to Khan, Domlo and Fukhar-uddin (2008) [8] in convex metric spaces and establish strong convergence of this scheme to a unique common fixed point of a finite family of asymptotically quasi-nonexpansive mappings. As a consequence of our result, we