广义f-投影算子求解一类非线性集值隐变分不等式  

A generalizedf-projection algorithm for solving a class of nonlinear set-valued implicit variational inequalities

作　　者：向国坤[1] 岳永鹏 吕利娟[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637002

出　　处：《贵州师范大学学报（自然科学版）》2014年第2期75-78,112,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家自然科学基金面上项目(11371015);四川省青年科技基金项目(2012JQ0032)

摘　　要：在Hilbert空间中,作者用一种含有广义f-投影算子的迭代算法求解一类非线性集值混合隐变分不等式。在满足适当的条件下,证明了迭代序列的收敛性。In Hilbert spaces,an iterative algorithm involving the generalizedf-projection operator for solving a class of nonlinear implicit variational inequalities with set-valued mapping is constructed and the convergence of sequences generated by the algorithm is given under some suitable conditions.

关 键 词：集值隐变分不等式 广义f-投影 迭代算法 收敛 

分 类 号：O22[理学—运筹学与控制论]