| 关于fuzzy映射的完全广义混合强非线性变分包含 |
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| 引用本文： | 李红玉,熊道统.关于fuzzy映射的完全广义混合强非线性变分包含[J].模糊系统与数学,2004,18(2):30-36. |
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| 作者姓名： | 李红玉 熊道统 |
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| 作者单位： | 1. 山东大学,数学与系统科学学院,山东,济南,250100
2. 延安大学,数学系,陕西,延安,716000 |
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| 摘 要： | 引入并研究了Hilbert空间中一类新的关于fuzzy映射的完全广义混合强非线性变分包含，利用极大单调映射的预解算子技巧构造迭代算法．并证明此变分包含的解的存在性及由迭代算法所生成的迭代序列的收敛性。所得结果改进并推广以往所得的相应结果。
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| 关 键 词： | Fuzzy映射的完全广义混合强非线性变分包含 预解算子 迭代算法 存在性 收敛性 |
| 文章编号： | 1001-7402(2004)02-0030-07 |
| 修稿时间： | 2002年12月23 |
Completely Generalized Mixed Strongly Nonlinear Variational Inclusions for Fuzzy Mappings |
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| LI Hong-yu,XIONG Dao-tong.Completely Generalized Mixed Strongly Nonlinear Variational Inclusions for Fuzzy Mappings[J].Fuzzy Systems and Mathematics,2004,18(2):30-36. |
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| Authors: | LI Hong-yu XIONG Dao-tong |
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| Institution: | LI Hong-yu~1,XIONG Dao-tong~2 |
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| Abstract: | A new class of completely generalized mixed strongly nonlinear variational inclusions for (fuzzy) mappings are introduced and studied in Hilbert space,new iterative algorithm is constructed by (using) the resolvent operator technique for maximal monotone mapping,the existence of solution and the convergence of sequences obtained by iterative algorithmare proved. These results improve and (extend) earlier results in this field. |
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| Keywords: | Completely Generalized Mixed Strongly Nonlinear Variational Inclusion for Fuzzy (Mappings ) Iterative Algorithm Resolvent Existence Convergence |
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