一类模糊映象的广义非线性变分包含组  

A Class of Variational Inclusions for Fuzzy Mapping

作　　者：程莉[1] 陈涛[1] 

机构地区：[1]四川农业大学生命科学与理学学院,四川雅安625014

出　　处：《西南师范大学学报（自然科学版）》2004年第3期336-338,共3页Journal of Southwest China Normal University(Natural Science Edition)

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.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.

关 键 词：模糊映象 变分包含组 存在性 预解算子 LIPSCHITZ连续 

分 类 号：O177.91[理学—数学]