含非紧值映射广义拟-似变分包含组解的存在性  

Existence of Solution to a System of Generalized Quasi-variational-like Inclusions with Noncompact Valued Mappings

作　　者：曹寒问[1] 

机构地区：[1]南昌工程学院理学系,南昌330099

出　　处：《应用泛函分析学报》2013年第1期19-25,共7页Acta Analysis Functionalis Applicata

基　　金：江西省科技厅青年科学基金(20122BAB211021)

摘　　要：引进一类新的具有非紧值映射的广义拟-似变分包含组.使用η-近似映射技巧,证明一个新的N-步迭代算法的收敛性和解的存在性.结果改进和推广了近期一些熟知的结果.In this paper,a new system of generalized quasi-variational-like inclusions with noncompact valued mappings is introduced and studied.By using the proximal mapping technique, the convergence of a new iV-step iterative algorithm and the existence of solutions for this system of generalized quasi-variational-like inclusions are proved.The results extend and improve some known results in the literature.

关 键 词：迭代算法 广义拟-似变分包含组 η-近似映射 Η-次微分 

分 类 号：O177[理学—数学]