集支付函数的向量均衡问题存在性定理
Existence Theorems of Vector Equilibrium Problems with Set Payoffs Functions
DOI: 10.12677/PM.2020.104037, PDF,    国家自然科学基金支持
作者: 高 磊*, 张 宇, 曹志娟：云南财经大学统计与数学学院，云南 昆明
关键词: 集支付；博弈问题；Fan-KKM定理；分离定理；Set Payoffs； Game Problems； Fan-KKM Theorems； Separation Theorems
摘要: 基于集支付函数锥半连续和锥拟凸的定义，利用经典的Fan-KKM定理与分离定理，在新的假设条件下，得到了带有集支付函数的向量均衡问题解的存在性定理。最后，通过算例验证了结果的可行性。
Abstract: Based on the definitions of cone semicontinuous and cone quasiconvex of payoff function, the existence theorems of solutions for vector equilibrium problems with payoff function are obtained under new assumptions by using the classical Fan-KKM theorem and separation theorem. Finally, the feasibility of the results is verified by an example.
文章引用：高磊, 张宇, 曹志娟. 集支付函数的向量均衡问题存在性定理[J]. 理论数学, 2020, 10(4): 290-297. https://doi.org/10.12677/PM.2020.104037

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