一类新的广义非线性集值变分包含组解的存在性问题  

Existences of a New System of Generalized Nonlinear Set-valued Variational Inclusions

作　　者：邱洋青[1] 王建国[1] 

机构地区：[1]江西理工大学应用科学学院,江西赣州341000

出　　处：《江西理工大学学报》2008年第2期32-35,共4页Journal of Jiangxi University of Science and Technology

摘　　要：在Hilbert空间中,利用极大η—单调映射的预解算子技巧,介绍并研究了一类新的广义非线性集值变分包含组解的存在性问题,构造了相应的迭代算法,证明了由此算法生成的迭代序列的收敛性.得到的结果统一,改进和推广了最近文献的相应结果.In this paper,a new system of generalized nonlinear set-valued variational inclusions is introduced and studied by using the resolvent technique of the maximal η-monotone mapping.The existence of solutions and the convergences of sequences produced by the new iterative algorithms are proved in Hilbert space.A number of results are unified,improved and generalized.

关 键 词：广义非线性集值变分包含组 极大η—单调映射 预解算子 迭代算法 

分 类 号：O177.91[理学—数学]