文章基本信息

标题：Remarks on Weakly KKM Maps in Abstract Convex Spaces
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作者：Sehie Park
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2008
卷号：2008
DOI：10.1155/2008/423596
出版社：Hindawi Publishing Corporation
摘要：A KKM space is an abstract convex space satisfying the KKM principle. We obtain variants of the KKM principle for KKM spaces related to weakly KKM maps and indicate some applications of them. These results properly generalize the corresponding ones in 𝐺-convex spaces and 𝜙𝐴-spaces (𝑋,𝐷;{𝜙𝐴}𝐴∈⟨𝐷⟩). Consequently, results by Balaj 2004, Liu 1991, and Tang et al. 2007 can be properly generalized and unified.