非线性问题中的KKM论证技巧(英文)

KKM Demonstration Technique for Nonlinear Problems

KKM定理自Ky Fan推广到无穷维情形后，在许多非线性问题的存在性论证中起着重要的作用．本文总结了这一论证技巧的要点，并在H-空间框架和广义KKM映象情形用于讨论不动点与变分不等式问题，给出更一般的重合定理、Ky Fan极大极小不等式的新的推广形式以及一类抽象形式半单调型变分不等式的可解性等几个新的结果．

In this paper,the ways and means of applying KKM theorem to various existence demonstrations of nonlinear problems are summarized, i. e. so called KKM technique,and by using this technique some new results with regard to fixed points and variational inequalities are obtained.