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Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications

โœ 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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โœฆ 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.


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Convergence of a general iterative schem
โœ Abdul Rahim Khan; M.A. Ahmed ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 268 KB

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