| 关于非扩张映象的耗散扰动问题 |
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| 引用本文： | 罗元松.关于非扩张映象的耗散扰动问题[J].应用数学和力学,2001,22(4):420-424. |
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| 作者姓名： | 罗元松 |
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| 作者单位： | 宜宾师专, 四川宜宾644007 |
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| 基金项目： | 四川省教委重点科研基金资助项目(川教计［1998］162号“具增生算子的非线性方程研究”) |
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| 摘 要： | 研究非扩张映象的耗散扰动问题。并把所得结果应用于研究某些类型的非线性积分方程解的存在性。
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| 关 键 词： | 非扩张映象 增生映象 不动点 非线性积分方程 |
| 文章编号： | 1000-0887(2001)04-0420-05 |
| 收稿时间： | 1999-10-08 |
| 修稿时间： | 1999年10月8日 |
On the Problem of
Dissipative Perturbations of Nonexpansive Mappings |
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| LUO,Yuan_song.On the Problem of
Dissipative Perturbations of Nonexpansive Mappings[J].Applied Mathematics and Mechanics,2001,22(4):420-424. |
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| Authors: | LUO Yuan_song |
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| Institution: | Department of Mathematics, Yibin Teachers' College, Yibin, Sichuan 644007, P R China |
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| Abstract: | Some fixed point theorems for mappings of the type －A＋T areestablished, where P is a cone in a Hilbert space, A：P→2P is an accretive mappings and T：P→P is a nonexpansive mappings. In application, the results presented in the paper are used to study the existence problem of solutions for a class of nonlinear integral equations in L2(Ω). |
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| Keywords: | nonexpansive mapping accretive mapping fixed point theorem nonlinear integral equation |
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