Banach空间中一类含H-增生算子的新型广义非线性混合似变分包含组  

A New System of Generalized Nonlinear Mixed Variational-like Inclusions Involving H-Accretive Operators in Banach Spaces

作　　者：张旭[1] 叶志强[2] 

机构地区：[1]重庆师范大学初等教育学院,重庆400700 [2]西南大学数学与统计学院,重庆400715

出　　处：《重庆师范大学学报（自然科学版）》2006年第4期6-9,24,共5页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金资助项目(No.10471113);重庆市科委自然科学基金资助项目(No.2005BB2097)

摘　　要：引入并研究了一类含H-增生算子的广义线性混合似变分包含组。应用关于H-增生算子的预解算子技巧和不动点理论,这类变分包含组解的存在性得到了证明。本文同时提出了一种新的迭代算法来计算这类变分组的近似解,并研究了这类算法的收敛性。本文所得结果是新的,并推广和统一了近期文献中的一些相关结论。In this paper,we introduce and study a new system of generalized nonlinear mixed variational-like inclusions involving H-accretive operators.By applying resolvent operator technique for H-accretive operators and fixed point technique,the existence of solutions of the system of generalized nonlinear mixed variational-like inclusions involving H-accretive mappings is proved.A novel and innovative algorithm to compute approximate solutions is suggested and analyzed.The convergence criteria is also given.The results are new,and unify and generalize the corresponding conclusions in recent literatures.

关 键 词：广义非线性混合似变分包含组 H-增生算子 预解算子 算法 BANAEH空间 

分 类 号：O177.91[理学—数学]