关于fuzzy映射的完全广义混合强非线性变分包含  

Completely Generalized Mixed Strongly Nonlinear Variational Inclusions for Fuzzy Mappings

作　　者：李红玉[1] 熊道统[2] 

机构地区：[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

出　　处：《模糊系统与数学》2004年第2期30-36,共7页Fuzzy Systems and Mathematics

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。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.

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 

分 类 号：O177.91[理学—数学]