广义混合变分不等式解的存在性与迭代算法  

Existence of solutions and iterative methods for generalized mixed variational inequalities

作　　者：姚莉[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《重庆工商大学学报（自然科学版）》2009年第4期311-315,共5页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：研究了一类广义混合变分不等式;利用η-次微分和η-近似映象这两个概念讨论了这种广义混合变分不等式解的存在性;并结合分裂技巧和自适应迭代技巧提出了一个求解这种广义混合变分不等式的显式迭代算法;最后证明了该算法在适当的条件下收敛.In this paper, we introduce and study a class of generalized mixed variational inequalities, applying two concepts of η-subdifferential and η-proximal mappings of proper functionals, we discuss existence of solutions for generalized mixed variational inequalities. Combining splitting method and self-adaptive iterative method, we suggest and analyze a explicit iterative method for solving generalized mixed variational inequalities. The new iterative method converge sunder certain mild conditions.

关 键 词：变分不等式 Η-次微分 η-近似映象 显式迭代算法 

分 类 号：O177.91[理学—数学]