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http://dx.doi.org/10.14317/jami.2011.29.3_4.669

STRONG CONVERGENCE OF HYBRID METHOD FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND SEMIGROUPS  

Liu, Li (Department of Mathematics, Cangzhou Normal University)
Wang, Lijing (Department of Mathematics, Cangzhou Normal University)
Su, Yongfu (Department of Mathematics, Tianjin Polytechnic University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 669-680 More about this Journal
Abstract
In this paper, some strong convergence theorems are obtained for hybrid method for modified Ishikawa iteration process of asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups in Hilbert spaces. The results presented in this article generalize and improve results of Tae-Hwa Kim and Hong-Kun Xu and others. The convergence rate of the iteration process presented in this article is faster than hybrid method of Tae-Hwa Kim and Hong-Kun Xu and others.
Keywords
Strong convergence; Hybrid method; Modified Ishikawa iteration; Asymptotically nonexpansive mapping; Asymptotically nonexpansive semigroup;
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