乘积FC-度量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-Metric Spaces with the Application to Generalized Constrained Multiobjective Games

建立了乘积FC-度量空间中的Browder型不动点定理,作为应用,获得了FC-度量空间中的Browder型不动点定理和广义约束多目标对策的弱Pareto平衡的存在定理.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-metric spaces.As applications,a Browder type fixed point theorem and existence theorem of weak Pareto equilibria for generalized constrained multiobjective games is obtained in FC-metric spaces.The present results unify,improve and generalize some known results in recent references.