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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
【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.
【Abstract】 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;
【Key words】 implicit quasi-complementarity problem; multi-valued mapping; boundedness; iterative algorithm;
【Key words】 implicit quasi-complementarity problem; multi-valued mapping; boundedness; iterative algorithm;
【基金】 四川省教育厅自然科研青年基金(川教[2006]314号)
- 【文献出处】 四川大学学报(自然科学版) ,Journal of Sichuan University(Natural Science Edition) , 编辑部邮箱 ,2010年05期
- 【分类号】O177.91
- 【下载频次】7