| 一类模糊映象的广义非线性变分包含组 |
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| 引用本文： | 程莉,陈涛.一类模糊映象的广义非线性变分包含组[J].西南师范大学学报(自然科学版),2004,29(3):336-338. |
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| 作者姓名： | 程莉 陈涛 |
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| 作者单位： | 四川农业大学,生命科学与理学学院,四川,雅安,625014 |
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| 摘 要： | 在Hilbert空间中引入并研究了一类模糊映象的广义非线性变分包含组.利用极大单调映象的预解算子技巧,建立了这类模糊映象的变分包含组与非线性集值映象的不动点问题之间的等价关系,并给出了这类变分包含组的解的存在性定理.
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| 关 键 词： | 模糊映象 变分包含组 存在性 预解算子 Lipschitz连续 |
| 文章编号： | 1000-5471(2004)03-0336-03 |
| 修稿时间： | 2003年4月2日 |
A Class of Variational Inclusions for Fuzzy Mapping |
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| CHENGLi,CHENTaoCollege Biologe and Science,Sichuan Agriculture University,Yaan Sichuan ,China.A Class of Variational Inclusions for Fuzzy Mapping[J].Journal of Southwest China Normal University(Natural Science),2004,29(3):336-338. |
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| Authors: | CHENGLi CHENTaoCollege Biologe and Science Sichuan Agriculture University Yaan Sichuan China |
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| Institution: | CHENGLi,CHENTaoCollege Biologe and Science,Sichuan Agriculture University,Yaan Sichuan 625014,China |
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| Abstract: | We establish the equivalence between the new system of variational inclusions for fuzzy mappings and fixed point problem of nonlinear set-valued mappings by employing the resolvent operator technique for maximal monotone mapping, and then, by using Nadler's fixed point theorem, give an existence theorem of solution for the variational inclusions. The results presented in this paper improve and extend many known earlier results in this area. |
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| Keywords: | variational inclusions fuzzy mappings existence resolvent operator Lipschitz continuity |
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