A parametric type of KKM theorem in FC-spaces with applications

A parametric type of KKM theorem in FC-spaces

with applications

Lei DENG;Xiao-yan ZANG

【期刊名称】《应用数学和力学（英文版）》 【年(卷),期】2009(030)001

【摘要】The paper first proves a characteristic property in FC-spaces. By the use of the connectedness of sets, a parametric type of KKM theorem is then established in noncompact FC-spaces by introducing a linear ordered space. As a consequence, some recent results, such as noncompact minimax inequalities, saddle point theorem, and section theorem, are improved. The results generalize the corresponding results in the literatures. 【总页数】7页(73-79) 【关键词】

【作者】Lei DENG;Xiao-yan ZANG

【作者单位】School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China;School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China 【正文语种】中文 【中图分类】O3 【相关文献】

1.KKM Theorems on FC-spaces with Their Applications to Variational

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3.The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and the application on isometric extension problem [J], DING; Guanggui

4.New Generalized L-KKM Type Theorems in Topological Spaces with Applications [J], Min FANG

5.GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS [J], 丁协平; 夏福全

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