A PROJECTION-TYPE ALGORITHM FOR SOLVING GENERALIZED MIXED VARIATIONAL INEQUALITIES  

作　　者：涂凯 夏福全 

机构地区：[1]Department of Mathematic,Sichuan Normal University [2]College of Applied Sciences,Beijing University of Technology

出　　处：《Acta Mathematica Scientia》2016年第6期1619-1630,共12页数学物理学报（B辑英文版）

基　　金：supported by the Scientific Research Foundation of Sichuan Normal University(20151602);National Natural Science Foundation of China(10671135,61179033);and the Key Project of Chinese Ministry of Education(212147)

摘　　要：We propose a projection-type algorithm for generalized mixed variational in- equality problem in Euclidean space Rn. We establish the convergence theorem for the pro- posed algorithm, provided the multi-valued mapping is continuous and f-pseudomonotone with nonempty compact convex values on dom（f）, where f ： Rn --RU{＋∞} is a proper func- tion. The algorithm presented in this paper generalize and improve some known algorithms in literatures. Preliminary computational experience is also reported.We propose a projection-type algorithm for generalized mixed variational in- equality problem in Euclidean space Rn. We establish the convergence theorem for the pro- posed algorithm, provided the multi-valued mapping is continuous and f-pseudomonotone with nonempty compact convex values on dom（f）, where f ： Rn --RU{＋∞} is a proper func- tion. The algorithm presented in this paper generalize and improve some known algorithms in literatures. Preliminary computational experience is also reported.

关 键 词：projection-type algorithm generalized mixed variational inequality f-pseudo-monotone mapping 

分 类 号：O178[理学—数学]