学术
摘 要:
在实自反Banach空间中，引入和研究了一类新的ψ-强增生型变分包含问题，证明了这类变分包含问题解的存在唯一性及其带有误差项的Ishikawa迭代程序的收敛性．本文结果改进、发展和统一了张石生教授和曾六川教授等人的一系列相关结果．[著者文摘]
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文章出处:
《应用数学》-2006年19卷2期 -363-369页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）02-0363-07
On the Ishikawa Iterative Approximation of Solutions to Variational Inclusions with ψ- Strongly Accretive Type Mappings
GU Feng （Institute of Applied Mathematics, Hangzhou Teacher＇s College, Hangzhou 310036, China）
Abstract:
The purpose of this paper is to introduce and study a new class of variational inclusions with ψ - strongly accretive type mappings in a real reflexive Banach space. We prove the existence and uniqueness of solutions to this class of variational inclusions and the convergence of the Ishikawa iteration process with errors for approximating solutions. The results presented in this paper improve, extend and unify many corresponding resuhs ob tained by Chang,Zeng and others.[著者文摘]
Key words:
Variational inclusion ; Accretive mapping ; ψ- strongly accretive mapping ; Ishikawa iterative process with errors
基金资助:
浙江省自然科学基金资助项目（Y605191）;黑龙江省自然科学基金资助项目（A0211）,黑龙江省普通高校骨干教师创新能力资助计划项目（1053G015）,杭州师范学院引进人才科研启动基金资助项目.黑龙江省教育厅科研资助项目（10511132）
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