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Weak and strong convergence theorems for countable Lipschitzian mappings and its applications

โœ Scribed by Weerayuth Nilsrakoo; Satit Saejung

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
309 KB
Volume
69
Category
Article
ISSN
0362-546X

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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

Weak and strong convergence theorems for
Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces
โœ Yu Kurokawa; Wataru Takahashi ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 259 KB

In this paper, we first obtain a weak mean convergence theorem of Baillon's type for nonspreading mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem for nonspreading mappings in a Hilbert space.