| φ-单调型集值变分包含解的Ishikawa迭代逼近 |
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| 引用本文： | 王亚琴.φ-单调型集值变分包含解的Ishikawa迭代逼近[J].数学学报,2008,51(3):481-486. |
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| 作者姓名： | 王亚琴 |
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| 作者单位： | 绍兴文理学院数理信息学院数学系 绍兴 312000 上海师范大学数理信息学院 上海 200234 |
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| 摘 要： | 在实自反的Banach空间中引入和研究了一类新的非线性φ-单调型集值变分包含,并证明了此类变分包含解的唯一性及其具误差项的Ishikawa迭代程序的收敛性.本文结果在多方面改进和推广了Huang和Fang等人的一些相关结果.
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| 关 键 词： | 集值变分包含 自反的Banach空间 η-次可微 |
| 收稿时间： | 2006-10-31 |
On the Ishikawa Iterative Approximation of Solutions to Set-Valued Variational Inclusions withφ-Monotone Type Mappings |
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| Institution: | Ya Qin WANG Department of Mathematics,Shaozing College of Arts and Science,Shaozing 312000,P.R.China Department of Mathematics,Shanghai Normal University,Shanghai 200234,P.R.China |
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| Abstract: | The purpose of this paper is to introduce and study a new class of nonlinear set-valued variational inclusions with C-monotone type mappings in a real reflexive Banach space.And we prove the uniqueness of solutions to this class of set-valued variational inclusions and the convergence of the Ishikawa iteration process with errors for approximating solutions.The result presented in this paper improves and extends many corresponding results obtained by Huang,Fang and others. |
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| Keywords: | set-valued variational inclusions reflexive Banach space η-sub differentiable |
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