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Weak convergence theorem for monotone mappings and a countable family of nonexpansive mappings

โœ Scribed by Somyot Plubtieng; Poom Kumam

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
493 KB
Volume
224
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper, we introduce an iterative process for finding the common element of the set of common fixed points of a countable family of nonexpansive mappings and the set of solutions of the variational inequality problem for an ฮฑ-inverse-strongly-monotone mapping. We obtain a weak convergence theorem for a sequence generated by this process. Moreover, we apply our result to the problem for finding a common element of the set of equilibrium problems and the set of solutions of the variational inequality problem of a monotone mapping.

๐Ÿ“œ SIMILAR VOLUMES

Weak convergence theorems for a countabl
Weak convergence theorems for a countable family of Lipschitzian mappings
โœ Weerayuth Nilsrakoo; Satit Saejung ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 724 KB

This paper is concerned with convergence of an approximating common fixed point sequence of countable Lipschitzian mappings in a uniformly convex Banach space. We also establish weak convergence theorems for finding a common element of the set of fixed points, the set of solutions of an equilibrium