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Demiclosed principle and convergence for modified three step iterative process with errors of non-Lipschitzian mappings

✍ Scribed by Li-ping Yang; Xiangsheng Xie; Shiguo Peng; Gang Hu

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 363 KB
Volume: 234
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.01.022

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✦ Synopsis

A demiclosed principle is proved for asymptotically nonexpansive mappings in the intermediate sense. Moreover, it is proved that the modified three-step iterative sequence converges weakly and strongly to common fixed points of three asymptotically nonexpansive mappings in the intermediate sense {T i } 3 i=1 under certain conditions. The results of this paper improve and extend the corresponding results of [M.O. Osilike, S.C. Aniagbosor, Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings, Math.

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