一类广义非线性拟似变分包含的扰动逼近点算法(英文)  

Perturbed proximal point algorithm for a class of generalized nonlinear quasi-variational-like inclusions

作　　者：李建[1] 刘启宽[1] 

机构地区：[1]成都信息工程学院,成都610064

出　　处：《西南民族大学学报（自然科学版）》2005年第1期6-12,共7页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：SupportedbytheFoundationofChengduUniversityofInformationTechnology(CRF200313).

摘　　要：利用η-逼近映射的方法,对广义非线性拟似变分包含,构造一种新的扰动迭代算法,同时讨论了这种算法生 成的迭代序列的收敛和稳定.In this paper, by using the η-proximal mapping technique due to Ding and Luo, and Lee et al., we construct a new perturbed iterative algorithm to solve a class of generalized nonlinear quasi-variational-like inclusions. We also discuss the convergence and stability of the iterative sequence generated by the algorithm. The results in this paper extend many known results in the literature.

关 键 词：广义非线性拟似变分包含 η-逼近映射 扰动迭代算法 

分 类 号：O177.91[理学—数学]