摘 要:
在实自反Banach空间中,引入和研究了一类新的k-次增生型变分包含问题,证明了这类变分包含解的存在性、唯一性及其具有混合误差项的Ishikawa迭代程序的收敛性.本文结果本质地改进、发展和统一了张石生和曾六川等人的一系列相关结果.[著者文摘]
关 键 词:

文章出处:
《应用数学》-2007年20卷4期 -646-652页
分 类 号:
文献标识码:
A
文章编号:
1001-9847(2007)04-0646-07
Existence and Ishikawa Iterative Approximation with Mixed Errors of Solutions for a New Class of Variational Inclusions with k- Subaccretive Type Mappings
GU Feng (Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China)
Abstract:
The purpose of this paper is to introduce and study a nwe class of variational inclusions problem with k- subaccretive type mappings in real reflexive Banach spaces. We prove the existence and uniqueness of solutions to this class of variational in clusions and the convergence of Ishikawa iteration process with mixed errors for approximating solutions. The results presented in this paper improve, extend and unify many corresponding results obtained by Chang,Zeng and others.[著者文摘]
Key words:
Variational inclusion; k- subaccretive mapping; rrr accretive mapping;Ishikawa iterative process with mixed errors
基金资助:
浙江省自然科学基金资助课题(Y605191),黑龙江省自然科学基金资助课题(A0211),浙江省教育厅科研基金资助课题(20051897),杭州师范大学引进人才科研启动基金资助课题(021301)

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