新一类非线性模糊混合拟变分包含的迭代算法  

Iterative Algorithm with the Errors on a New Class of Nonlinear Fuzzy Mixed Quasi-Variational Inclusions

作　　者：朱红英 李红刚[2] 

机构地区：[1]重庆黔江电视大学 [2]重庆邮电大学应用数学研究所

出　　处：《吉首大学学报（自然科学版）》2011年第1期14-17,25,共5页Journal of Jishou University(Natural Sciences Edition)

摘　　要：在Banach空间中,引入和研究了带(A,η)-增生映象的新一类非线性模糊混合拟变分包含.利用(A,η)-增生映象的预解算子和Nadler定理,对此类变分包含建立解的存在性定理,并讨论了寻求解的带误差的新迭代算法,证明了由此算法生成的迭代序列的收敛性.A new class of nonlinear fuzzy mixed quasi-variational inclusions with(A,η)-accetive mappings in Banach spaces is introduced and studied.By using the resolvent operator associated with(A,η)-acce-tive mappings,a new iterative algorithm with the errors and an existence theorem of solutions for this kind of variational inclusions are established and discussed,and the convergence of iterative sequences generated by the algorithm is proved inq-uniformly smooth Banach spaces.

关 键 词：模糊混合拟变分包含 (A η)-增生映象 预解算子 算法 收敛性 

分 类 号：N55[自然科学总论]