FC-空间的一个极大极小不等式及应用

A Minimax Inequality in FC-Spaces and Its Applications

运用FC-空间中的一个极大极小不等式,对FC-空间中的抽象变分不等式和似变分不等式解的存在性,Ky Fan型截口定理,以及具有扰动的二人零和博弈存在性进行研究,从而得到没有线性结构的FC-空间中一些新的抽象变分不等式和似变分不等式解的存在性结果和一Ky Fan型截口定理.最后得到了一个具有扰动的二人零和博弈的存在性结果.

By using a minimax inequality in FC-spaces, an analysis is made on the existence of the solutions to abstract variational inequality and variational-like inequality, the Ky Fan section theorem,and the equilibrium existence of perturbed zero-sum game for two persons in FC-spaces. As a result, some new results about the existence of the solutions to abstract variational inequality and variational-like inequality and a Ky Fan section theorem in FC-spaces without linear structure are drawn ,and the result of the equilibrium existence of perturbed zero-sum game for two persons is actually obtained.