期刊信息
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- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
严格伪压缩映像不动点的迭代逼近
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1. 河北师范大学 数学与信息科学学院, 河北 石家庄 050016;
2. 河北师范大学 附属民族师范学院, 河北 石家庄 050091;
3.河北经贸大学 数学与统计学学院, 河北 石家庄 050061 -
DOI:
On the Iterative Approximation Problem of Fixed Points for Strictly Pseudocontrative Mappings in Banach Spaces
摘要/Abstract
摘要:
设1<p≤2,K是实p-一致光滑的Banach空间X的非空有界闭凸子集,K+K⊂K,T:K→K是严格伪压缩映像,且F(T)≠∅,Q是从X到K上的非扩张保核收缩,证明了修正的具误差的Ishikawa迭代序列强收敛到T的唯一不动点.
Abstract:
Let 1<p≤2,suppose T is a strictly pseudocontrative self-mappings on a nonempty closed convex bounded subset K of a real p-uniformly smooth Banach space X,and has a fixed point,Q:X→ontoK is nonexpansive contraction operator,It is proved that the modified Ishikawa iterative sequence with errors converges strongly to the unique fixed point of T.