Strong convergence theorems by hybrid method for asymptotically -strict pseudo-contractive mapping in Hilbert space.

Autor: Inchan, Issara, Nammanee, Kamonrat
Zdroj: Nonlinear Analysis: Hybrid Systems; Nov2009, Vol. 3 Issue 4, p380-385, 6p
Abstrakt: Abstract: In this paper, we introduce the hybrid method of modified Mann’s iteration for an asymptotically -strict pseudo-contractive mapping. Then we prove that such a sequence converges strongly to . This main theorem improves the result of Issara Inchan [I. Inchan, Strong convergence theorems of modified Mann iteration methods for asymptotically nonexpansive mappings in Hilbert spaces, Int. J. Math. Anal. 2 (23) (2008) 1135–1145] and concerns the result of Takahashi et al. [W. Takahashi, Y. Takeuchi, R. Kubota, Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert space, J. Math. Anal. Appl. 341 (2008) 276–286], and many others. [Copyright &y& Elsevier]
Databáze: Supplemental Index
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