Fan-Browder type fixed point theorems on G-convex product spaces are obtained and new existence theorems of (partially) maximal element and equilibrium point are given by using the above result.

• 我们得到了一般化凸乘积空间上Fan-Browder型不动点定理,然后利用上述结果给出(部分)极大元素和平衡点的存在定理。