广义集值隐拟补问题解的存在性及迭代算法  

Existence and iterative algorithm of solution for the generalized multi-valued implicit quasi-complementarity problems

作　　者：颜文勇[1] 成和平[1] 王科[1] 

机构地区：[1]成都电子机械高等专科学校,成都610031

出　　处：《四川大学学报（自然科学版）》2010年第5期964-966,共3页Journal of Sichuan University(Natural Science Edition)

基　　金：四川省教育厅自然科研青年基金(川教[2006]314号)

摘　　要：本文讨论了一类比较广泛的广义集值隐拟补问题.它包括许多相补问题为特例.作者构造了这类广义集值隐拟补问题解的迭代算法,通过证明所构造的迭代算法序列的收敛性,证明了广义集值隐拟补问题解的存在性.所得结果推广了一些最近结果.In this paper, the authors introduce and study a class of generalized multi-valued implicit quasi-complementarity problems and construct an iterative algotithm for the generalized multi-valued implicit quasi-complementarity problems. They also study the convergence of the iterative algorithm. The results presented in this paper extend some results in the literature from single-valued mappings to multivalued mappings.

关 键 词：相补问题 迭代算法 收敛 

分 类 号：O177.91[理学—数学]