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FC-空间上的不动点和极大元
  • ISSN号：1001-8395
  • 期刊名称：《四川师范大学学报：自然科学版》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]成都信息工程学院数学学院,四川成都610225
  • 相关基金：国家自然科学基金（11071042和11171046）资助项目; 成都信息工程学院引进人才基金项目（KYTZ201114）
作者： 何蓉华[1]
关键词： FC-空间, 不动点, 极大元, FC-space, fixed point, maximal element
中文摘要：

在FC-空间中继续研究非线性分析中不动点和极大元的问题,在FC-空间内引入了弱FC-值集值映像概念,利用此概念对集值映像证明了某些新的不动点定理;利用不动点定理也得到极大元的存在性定理.这些结果改进且推广了近年来一些文献的结果.

英文摘要：

In this paper,we will continue to study some problems for fixed points and maximal elements in nonlinear analysis in FC-spaces.We introduce a notion of weakly FC-set-valued mapping in FC-space.Using the above notion,we prove some new fixed point theorems for set-valued mapping,from which we derive several existence theorems of maximal elements.Our results improve and generalize some recent results.

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期刊信息
  • 《四川师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:四川省教育厅
  • 主办单位:四川师范大学
  • 主编：王学平
  • 地址：成都市锦江区静安路5号
  • 邮编：610066
  • 邮箱：
  • 电话：028-84760704
  • 国际标准刊号：ISSN：1001-8395
  • 国内统一刊号：ISSN：51-1295/N
  • 邮发代号:
  • 获奖情况:
  • 2009年获“中国科技论文在线优秀期刊”二等奖,2010年获教育部科学技术司第三届“中国高校优秀科...,2010年“四川省科技期刊精品期刊”,2011年中国高校科技期刊研究会“十佳学报”,2011年“2011年度中国精品科技期刊”
  • 国内外数据库收录:
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  • 被引量:7680