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

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.