AN ITERATIVE APPROXIMATION OF FIXED POINTS OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES

被引：0
|
作者：
Shehu, Yekini [1 ]
机构：
[1] Univ Nigeria, Dept Math, Nsukka, Nigeria
来源：
MATEMATICKI VESNIK | 2015年 / 67卷 / 02期
关键词：
Strong convergence; strictly pseudocontractive mappings; uniformly smooth Banach spaces; uniformly convex Banach spaces;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove strong convergence of an iterative scheme for approximation of fixed point of lambda-strict pseudocontractive mapping in a uniformly smooth real Banach space (which is not necessarily uniformly convex). We apply our result to approximation of common fixed point of a finite family of strictly pseudocontractive mappings. Our result extends the results of Li and Yao [M. Li, Y. Yao, Strong convergence of an iterative algorithm for lambda-strictly pseudocontractive mappings in Hilbert spaces, An. St. Univ. Ovidius Constanta 18 (2010), 219-228] and complements other new interesting results in the literature.
引用
收藏
页码：79 / 91
页数：13
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