Parametric Type of KKM Theorem in FC-Spaces With Applications
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摘要: 首先在FC-空间中证明了一个特征性质,然后通过引进线性序空间,利用集合的连通性,在非紧的FC-空间中证明了一个参数型KKM定理.应用参数型KKM定理得到非紧的极大极小不等式、鞍点定理和截口定理.这些结果改进和推广了这个领域中的一些相关结果.
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关键词:
- FC-子空间 /
- FC-参数-拟凸映射 /
- 极大极小不等式
Abstract: First, the authors proved a characteristic property in FC-spaces, then using the connectedness of set, a parametric type of KKM theorem was established in noncompact FC-spaces by introducing a linear ordered space. As consequences, some recent known results such as the noncompact minimax inequalities, saddle point theorem and section theorem were improved. The results improve and generalize the corresponding results in the literature.-
Key words:
- FC-subspace /
- FC-parametric-quasiconvex mapping /
- minimax inequality
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