Mann Type Implicit Iteration Approximation for Multivalued Mappings in Banach Spaces

被引：0
|
作者：
He, Huimin [1 ]
Liu, Sanyang [1 ]
Chen, Rudong [2 ]
机构：
[1] Xidian Univ, Dept Math, Xian 710071, Peoples R China
[2] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
关键词：
STRONG-CONVERGENCE THEOREMS; FIXED-POINT THEOREM; NONEXPANSIVE-MAPPINGS;
D O I：
10.1155/2010/140530
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let K be a nonempty compact convex subset of a uniformly convex Banach space E and let T be a multivalued nonexpansive mapping. For the implicit iterates x(0) is an element of K, x(n) = alpha(n)x(n-1) + (1 - alpha(n))y(n), yn is an element of Tx(n), n >= 1. We proved that {x(n)} converges strongly to a fixed point of T under some suitable conditions. Our results extended corresponding ones and revised a gap in the work of Panyanak (2007).
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页数：8
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