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Perturbation techniques for nonexpansive mappings with applications

โœ Scribed by Genaro Lopez; Victoria Martin; Hong-Kun Xu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
780 KB
Volume
10
Category
Article
ISSN
1468-1218

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โœฆ Synopsis

Perturbation techniques for nonexpansive mappings are studied. An iterative algorithm involving perturbed mappings in a Banach space is proposed and proved to be strongly convergent to a fixed point of the original mapping. These techniques are applied to solve the split feasibility problem and the multiple-sets split feasibility problem, and to find zeros of accretive operators.

๐Ÿ“œ SIMILAR VOLUMES

Convergence of an iterative algorithm fo
Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications
โœ Xiaolong Qin; Sun Young Cho; Shin Min Kang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 564 KB

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.