H-空间中的截口定理与变分不等式

SECTION THEOREMS IN H -SPACES AND VARIATIONAL INEQUALITIES

在H-空间的框架下,进一步研究了截口定理,并把所得结果应用于研究变分不等式解的存在性问题,其结果不仅包含Ky Fan截口定理为特例,而且也改进和推广了文[4,6]中的相应结果.

The purpose of this paper is to study the section theorems further under the framework of H-spaees. As an application. we utilize the results presented in this paper to study the existence problem of solutions for variational inequalitics. Our results not only contain the famous Ky Fan's section theorem as its special case but also improve and generalize the corresponding known results.