Hilbert空间中一类广义混合变分不等式组的广义f-投影算法  

A Generalized f-projection Algorithm for Generalized Mixed Variational Inequalities in Hilbert Space

作　　者：周冬梅[1] 何中全[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：《内江师范学院学报》2014年第4期1-6,共6页Journal of Neijiang Normal University

基　　金：四川省教育厅基金项目(082A159)

摘　　要：研究了Hilbert空间中一类广义混合变分不等式解的存在性.利用广义f-投影算子的性质以及不动点定理,构造了新的迭代公式,研究了这类迭代公式的收敛性,给出了所得的收敛结果是广义逆混合变分不等式的解.A probem is made into the existence possibility of new generalized mixed variational inequalities and by use of the properties of the generalized projection operators and the fixed point theorem, a new iterative formula is constructed and the convergence properties of such iterative formulas are examined. It is concluded that the convergence result thus obtained is the solution to the generalized inverse mixed variational inequalities.

关 键 词：HILBERT空间 广义混合变分不等式 广义f-投影算子 迭代算法 

分 类 号：O177.91[理学—数学]