کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4636548 | 1340724 | 2007 | 9 صفحه PDF | دانلود رایگان |
In this paper, we defined viscosity iterative sequence {zm} and {xn} of the Cesàro means for non-expansive mappings T, and proved that {zm} and {xn} converge strongly to some p ∈ F(T), respectively, where p is a unique solution in F(T) to the following variational inequality:〈(f-I)p,j(u-p)〉⩽0for allu∈F(T).Our results developed and complemented the corresponding ones by Shin-ya Matsushita and Daishi Kuroiwa [Strong convergence of averaging iterations of nonexpansive nonself-mappings, J. Math. Anal. Appl. 294 (2004) 206–214] and H.K. Xu [Viscosity approximation methods for nonexpansive mappings, J. Math. Anal. Appl. 298 (2004) 279–291] and Yongfu Su and Suhong Li [Strong convergence theorems on two iterative method for non-expansive mappings, Appl. Math. Comput. Available from:
Journal: Applied Mathematics and Computation - Volume 186, Issue 2, 15 March 2007, Pages 1120–1128