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FC-空间中的参数型KKM定理及其应用
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O177.92[理学—数学;理学—基础数学]
  • 作者机构：[1]西南大学数学与统计学院,重庆400715
  • 相关基金：国家自然科学基金资助项目（10771173）;重庆市科委自然科学基金资助项目（CSTC,2005BB2097）
作者： 邓磊[1], 臧小燕[1]
关键词： FC-子空间, FC-参数-拟凸映射, 极大极小不等式, FC-subspace, FC-parametric-quasiconvex mapping, minimax inequality
中文摘要：

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．

英文摘要：

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 introduc- ing 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.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:8965