迭代序列强收敛于m-增生型变分〗包含解的充要条件

journal6 ›› 2002, Vol. 23 ›› Issue (4): 4-7.

迭代序列强收敛于m-增生型变分〗包含解的充要条件

(绍兴文理学院数学系，浙江绍兴312000)

出版日期:2002-12-15 发布日期:2012-11-09
作者简介:倪仁兴(1964-)，男，浙江省绍兴市人，绍兴文理学院数学系副教授，硕士研究生，主要从事非线性分析与非线性逼近和优化研究.
基金资助:
国家自然科学基金资助项目(19971013)；浙江省教育厅自然科学基金资助项目(20010105)

Necessary and Sufficient Conditions for Strongly Convergence of Iterative Sequence Solutions for Variational Inclusions With m-Accretive Type Mappings

(Dept.of Math.,Shaoxing Arts and Science College,Shaoxing 312000,Zhejiang China)

Online:2002-12-15 Published:2012-11-09

摘要/Abstract

摘要：研究了Banach空间中一类m-增生型变分包含解的存在性及其具随机误差的Ishikawa迭代逼近问题，得到了迭代序列强收敛于变分包含问题的唯一解的若干等价条件.

关键词： 变分包含, m-增生映象, 具随机误差的Ishikawa迭代序列

Abstract: The existence of solutions and approximation problem of Ishikawa iterative process with random errors are studied for a class of variational inclusions with m-accretive type mappings in Banach spaces.Some necessary and sufficient conditions for iterative sequence strongly convengence of uniqueness solutions for variation inclusions are obtained.

Key words: variational inclusion, m-accretive mapping, Ishikawa iterative process with errors

倪仁兴. 迭代序列强收敛于m-增生型变分〗包含解的充要条件[J]. journal6, 2002, 23(4): 4-7.

NI Ren-Xing. Necessary and Sufficient Conditions for Strongly Convergence of Iterative Sequence Solutions for Variational Inclusions With m-Accretive Type Mappings[J]. journal6, 2002, 23(4): 4-7.

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