乘积FC-空间中的不动点定理及其对广义约束多目标对策的应用

A Fixed Point Theorems in Product FC-Spaces with the Application to Generalized Constrained Multiobjective Games

建立了乘积FC-空间中的Browder型不动点定理,作为应用,获得了FC-空间中广义约束多目标对策的弱Pareto平衡存在定理.我们的结论统一改进和推广了一些近期文献的已知结果.

In this paper, a Browder type fixed point theorem is established in product FC-spaces. As applications, a existence theorem of weak Pareto equilibria for generalized constrained multi- objective games is obtained in FC-spaces. Our results unify, improve and generalize some known results in recent reference.