文献类型：期刊文献

中文题名：一类φ-强增生型变分包含解的存在和逼近问题

英文题名：Existence and Approximation Problems of Solutions to A Class Variational Inclusions with Φ-Strongly Accretive Type Mappings

作者：冯先智[1];倪仁兴[2]

机构：[1]台州学院数学系;[2]绍兴文理学院数学系

年份：2004

期号：1

起止页码：65

中文期刊名：数学研究

外文期刊名：Journal of Mathematical Study

收录：CSCD_E2011_2012、CSCD

基金：浙江省教育厅科研项目 (2 0 0 1 0 1 0 5)

语种：中文

中文关键词：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

外文关键词：set valued variational inclusion; φ strongly accretive mapping; Ishikawa iterative process with errors; necessary and sufficient condition

中文摘要：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 。

外文摘要：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.