| 一类新的k-次增生型变分包含解的存在性及其具有混合误差项的Ishikawa迭代逼近 |
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| 引用本文： | 谷峰. 一类新的k-次增生型变分包含解的存在性及其具有混合误差项的Ishikawa迭代逼近[J]. 应用数学, 2007, 20(4): 646-652 |
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| 作者姓名： | 谷峰 |
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| 作者单位： | 杭州师范大学数学系应用数学研究所,浙江,杭州,310036 |
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| 基金项目： | 浙江省自然科学基金;黑龙江省自然科学基金;浙江省教育厅资助项目;杭州师范大学引进人才科研启动基金 |
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| 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.
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| 关 键 词： | 变分包含 k-次增生映象 m-增生映象 具混合误差项的Ishikawa迭代程序 |
| 文章编号： | 1001-9847（2007）04-0646-07 |
| 修稿时间： | 2006-09-11 |
Existence and Ishikawa Iterative Approximation with Mixed Errors of Solutions for a New Class of Variational Inclusions with k- Subaccretive Type Mappings |
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| Gu Feng. Existence and Ishikawa Iterative Approximation with Mixed Errors of Solutions for a New Class of Variational Inclusions with k- Subaccretive Type Mappings[J]. Mathematica Applicata, 2007, 20(4): 646-652 |
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| Authors: | Gu Feng |
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| Affiliation: | Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China |
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| 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. |
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| Keywords: | Variational inclusion k- subaccretive mapping rrr accretive mapping Ishikawa iterative process with mixed errors |
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