摘要
研究 Banach空间中一类带有 φ-强增生型映象的集值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 。
The purpose of this paper is to study the existence of solutions and approximation problem of Ishikawa iterative process with random errors for a class of set valued variational inclusions with φ strongly accretive type mappings in Banach spaces. Some necessary and sufficient conditions for iterative sequence strongly convengence of solutions for variation inclusions were obtained. The results unify and extend some recent results.
出处
《数学研究》
CSCD
2004年第1期65-70,77,共7页
Journal of Mathematical Study
基金
浙江省教育厅科研项目 (2 0 0 1 0 1 0 5)
关键词
集值变分包含
Φ-强增生映象
具随机误差的Ishikawa迭代序列
充要条件
set valued variational inclusion
φ strongly accretive mapping
Ishikawa iterative process with errors
necessary and sufficient condition
