کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
844527 | 908596 | 2007 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups](/preview/png/844527.png)
In this paper, we established strong convergence theorems for a common fixed point of two asymptotically nonexpansive mappings and for a common fixed point of two asymptotically nonexpansive semigroups by using the hybrid method in a Hilbert space. Moreover, we also proved a strong convergence theorem for a common fixed point of two nonexpansive mappings. Our results extend and improve the recent ones announced by Kim and Xu [T.W. Kim, H.W. Xu, Strong convergence of modified Mann iteration for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal. 64 (2006) 1140–1152], Nakajo and Takahashi [K. Nakajo, W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003) 372–379], and many others.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 7, 1 October 2007, Pages 2306–2315