Banach空间中的广义集值变分包含和预解算子  

Generalized Set-Valued Variational Inclusions and Resolvent Equations in Banach Spaces

作　　者：李观荣[1] 

机构地区：[1]湛江师范学院数学与计算机科学学院,广东湛江524048

出　　处：《绵阳师范学院学报》2009年第2期21-23,27,共4页Journal of Mianyang Teachers＇ College

摘　　要：研究了Banach空间的广义集值变分包含。首先指出了J U Jeong所著文章《Generalized set-valuedvariational inclusions and resolvent equations in Banach spaces》中的定理3.1是不成立的,然后借助预解算子技巧,建立了与广义变分包含相关的迭代算法,并给出了广义变分包含的迭代收敛定理,从而更正了该定理。A class of generalized set - valued variational inclusions is studied. Firstly, we point out that the theorem 3.1 in J. U. Jeong＇s article ＂ Generalized set - valued variational inclusions and resolvent equations in Banach spaces＂ is untenable. Secondly, by using the resolvent operator technique, we establish the iterative algo- rithm and give the approximate solution for the generalized set -valued variational inclusions in Banach space. The result corrects the theorem.

关 键 词：广义变分包含 预解算子 增生映射 

分 类 号：O177.91[理学—数学]