| m-增生型变分包含解的存在和逼近问题 |
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| 引用本文： | 倪仁兴.m-增生型变分包含解的存在和逼近问题[J].宁夏大学学报(自然科学版),2004,25(2):97-100. |
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| 作者姓名： | 倪仁兴 |
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| 作者单位： | 绍兴文理学院,数学系,浙江,绍兴,312000 |
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| 基金项目： | 国家自然科学基金资助项目 (10 2 710 2 5 )，浙江省自然科学基金资助项目 (10 2 0 0 2 ) |
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| 摘 要： | 研究了Banach空间中一类m-增生型映象的变分包含解的存在惟一性及其具随机误差的Ishikawa迭代序列的收敛性问题．使用新的分析技巧，给出了具随机误差的一类m-增生型映象的变分包含解存在且惟一的若干充要条件．所得结果从本质上推广并改进了近期的相关结果，且所用的证明方法不同于已有的其他方法．
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| 关 键 词： | 变分包含 m-增生型映象 具随机误差的Ishikawa迭代 η-次微分 充要条件 |
| 文章编号： | 0253-2328(2004)02-0097-04 |
The Existence and Approximation Problems of Solutions to Variational Inclusion with m-Accretive Type Mapping |
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| Ni Renxing.The Existence and Approximation Problems of Solutions to Variational Inclusion with m-Accretive Type Mapping[J].Journal of Ningxia University(Natural Science Edition),2004,25(2):97-100. |
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| Authors: | Ni Renxing |
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| Abstract: | The purpose of this paper is to investigate the existence,uniqueness and approximation problem of the Ishikawa iterative with random error sequences of solutions for a class of variational inclusions with m-accretive type mapping in real Banach space. By new analytic technique, the author gives some criterias of the existence and uniqueness solutions for a class of variational inclusions of m-accretive type mapping with random error. The results extend and improve the corresponding results obtained recently. |
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