T-对角拟凸(凹)函数及其在鞍点和变分不等式问题中的应用

T-DIAGONALLY QUASI-CONVEX(CONCAVE)FUNCTIONS WITH APPLICATIONS TO THE PROBLEMS OF SADDLE POINTS AND VARIATIONAL INEQUALITIES

本文引入了 T-对角拟凸(凹)函数的概念,借助于这一概念讨论了 Hansdorff线性拓朴空间中的鞍点问题和拟变分不等式问题,得出了一些新的和改进的结果。这些结果削弱了通常的鞍点和拟变分不等式理论研究中对函数的凸(凹)性的要求。

In this paper the concept of T-diagonally quasi-convex(concave)func-tions is introduced.By using this concept we study the problem of saddlepoints and quasi-variational inequalities in Hausdorff linear topological spa-ces,and some results are obtained.The results presented in this paper impro-ve and extend some recent results.