An Iterative Process for a Finite Family of Pseudocontractive Mappings

被引:0
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作者
Yi Sheng SONGCollege of Mathematics and Information Science
机构
关键词
Pseudocontractive mappings; strong and weak convergence; implicit iteration process; common fixed points;
D O I
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中图分类号
O174 [函数论];
学科分类号
070104 ;
摘要
The purpose of this paper is to study the following implicit iteration scheme recentlyintroduced by Xu and Ori [Numer. Funct. Anal. Optim., 22, (2001) 767-773]:x= αx+ (1 -α)Tx, n≥1,and to prove several strongly and weakly convergent theorems of the iteration for a finite family ofpseudocontractive mappings under condition α∈ (0, b] (?) (0,1).
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页码:293 / 298
页数:6
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