Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633491 | Applied Mathematics and Computation | 2009 | 12 Pages |
Abstract
This paper is concerned with convergence of an approximating common fixed point sequence of countable Lipschitzian mappings in a uniformly convex Banach space. We introduce a new condition for a class of mappings to obtain several weak and strong convergence theorems. This new condition is implied by many previous known conditions introduced by many authors. We also apply our results for a class of nonexpansive mappings and asymptotically nonexpansive mappings and we immediately obtain convergence theorems proved by Song-Chen, Kimura-Takahashi, Tan-Xu, and many others.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Weerayuth Nilsrakoo, Satit Saejung,