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
The Iterative Construction of Common Zero Points for a Family of Maximal Monotone Operators in Banach Space
摘要/Abstract
摘要:
令E为实光滑、一致凸Banach空间,E*为其对偶空间.令Ai⊂E×E*,i=1,2,…,m为极大单调算子且存在i0∈{1,2,…,m}使得∈Ø≠Ai-10(0)i⊂∩=mi≠1i≠i0Ai-1(0).引入新的精确迭代算法和近似迭代算法,并利用Lyapunov泛函等技巧,证明迭代序列强收敛于{Ai}im=1的公共零点.
Abstract:
Let E be a real smooth and unifo rmly convex Banach space with E*its duality space.Let AiE×E*,i =1,2,…,m be maximal monoto ne operators and there exists i0∈Ø≠Ai-10(0)i⊂∩=mi≠1i≠i0Ai-1(0).A new accurate iterative algorithm and a new pro ximate algo rithm are introduced whichare proved to be strongly convergent to common zero point s of maximal monotone operators {Ai}mi=1by using thetechniques of Ly apunov functional.
关键词
关键词:
Lyapunov泛函
;
极大单调算子
;
一致凸Banach空间
;
Reich不等式