FC-空间中的极大极小不等式及其等价形式(英文)

Minimax Inequalities and Its Equivalent Formulations in FC-spaces

应用非空交定理,在FC-空间中证明了几个极大极小不等式,推广了有关文献中的相应结果.同时给出了与极大极小不等式等价的形式,如截口定理、不动点定理和极小元定理等.

By using a nonempty intersection theorem, we prove some minimax inequatities in FC-space, which generalize the corresponding result in the literature. Also, some equivalent formulations of minimax inequalities are given in FC-space, such as section theorem, fixed point theorem and maximal element theorem elc.