Remarks on a Generalized KKM Theorem Without Convex Hull

摘要

In a recent paper of Z. Yang and Y. J. Pu [21], a KKM type theorem without convex hull was proved and applied to some existence theorems of solutions for (vector) Ky Fan minimax inequality, Ky Fan section theorem, variational relation problems, n-person noncooperative game, and n-person noncooperative multiobjective game. In the present paper, we show that the KKM type theorem and all results in [21] are consequences of already known results for φA-spaces and can be improved by eliminating some redundant restrictions.