๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Weak convergence theorems for a countable family of Lipschitzian mappings

โœ Scribed by Weerayuth Nilsrakoo; Satit Saejung

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
724 KB
Volume
230
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 problem, and the set of solutions of a variational inequality. With an appropriate setting, we obtain and improve the corresponding results recently proved by Moudafi [A. Moudafi, Weak convergence theorems for nonexpansive mappings and equilibrium problems. J. Nonlinear Convex Anal. 9 (2008) 37-43], Tada-Takahashi [A. Tada and W. Takahashi, Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem.

๐Ÿ“œ SIMILAR VOLUMES

Weak convergence theorem for monotone ma
Weak convergence theorem for monotone mappings and a countable family of nonexpansive mappings
โœ Somyot Plubtieng; Poom Kumam ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 493 KB

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 the

Weak Convergence and Non-linear Ergodic
Weak Convergence and Non-linear Ergodic Theorems for Reversible Semigroups of Non-Lipschitzian Mappings
โœ Li Gang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 177 KB

Let G be a semitopological semigroup. Let C be a closed convex subset of a uniformly convex Banach space E with a Frechet differentiable norm and แ‘ฎ s ร„ 4 T:tg G be a continuous representation of G as asymptotically nonexpansive t ลฝ . ลฝ . type mappings of C into itself such that the common fixed poi