کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1713887 | 1013256 | 2008 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Strong convergence theorems of hybrid methods for two asymptotically nonexpansive mappings in Hilbert spaces Strong convergence theorems of hybrid methods for two asymptotically nonexpansive mappings in Hilbert spaces](/preview/png/1713887.png)
In this paper, we introduce two modifications of the Ishikawa iteration, by using the hybrid methods, for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups in a Hilbert space. Then, we prove that such two sequences converge strongly to common fixed points of two symptotically nonexpansive mappings and asymptotically nonexpansive semigroups, respectively. Our main result is connected with the results of Plubtieng and Ungchittrakool [S. Plubtieng, K. Ungchittrakool, Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups, Nonlinear. Anal. 67(2007) 2306-2315], Martinez-Yanes and Xu [C. Martinez-Yanes, H.K. Xu, Strong convergence of CQ method for fixed point iteration processes, Nonlinear. Anal. 64 (2006) 2400-2411] and many others.
Journal: Nonlinear Analysis: Hybrid Systems - Volume 2, Issue 4, November 2008, Pages 1125–1135