| Banach空间中一类新的k-次增生型变分包含问题解的迭代逼近 |
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| 引用本文： | 谷峰.Banach空间中一类新的k-次增生型变分包含问题解的迭代逼近[J].数学杂志,2010,30(2). |
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| 作者姓名： | 谷峰 |
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| 作者单位： | 杭州师范大学应用数学研究所,浙江,杭州,310036 |
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| 基金项目： | 国家自然科学基金资助项目，浙江省自然科学基金资助项目，黑龙江省自然科学基金资助项目，浙江省教育厅科研基金资助项目，杭州师范大学引进人才科研启动基金资助项目 |
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| 摘 要： | 本文研究了Banach空间中的一类新的κ-次增生型变分包含问题.使用一些分析技巧,获得了这类变分包含解的存在性、唯一性以及具有混合误差项的Ishikawa迭代程序的收敛性,改进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 κ-次增生映象 m-增生映象 具混合误差项的Ishikawa迭代程序 |
ITERATIVE APPROXIMATION OF SOLUTIONS FOR A NEW CLASS OF VARIATIONAL INCLUSION PROBLEMS WITH K-SUBACCRETIVE TYPE MAPPINGS IN BANACH SPACES |
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| GU Feng.ITERATIVE APPROXIMATION OF SOLUTIONS FOR A NEW CLASS OF VARIATIONAL INCLUSION PROBLEMS WITH K-SUBACCRETIVE TYPE MAPPINGS IN BANACH SPACES[J].Journal of Mathematics,2010,30(2). |
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| Authors: | GU Feng |
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| Abstract: | This article studies a new class of variational inclusion problems with k-subaccretive type mappings in Banach spaces.Using some analysis techniques,we obtain some new results on the existence and uniqueness of solutions to this class of variational inclusions and the convergence of Ishikawa iteration process with mixed errors for approximating solutmns.The results presented in this paper improve many corresponding results obtained by Chang,Zeng and others. |
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| Keywords: | variational inclusion k-subaccretive mapping m-accretive mapping Ishikawa iterative process with mixed errors |
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