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文章基本信息

  • 标题:An application of KKM-map principle
  • 本地全文:下载
  • 作者:A. Carbone
  • 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:1992
  • 卷号:15
  • DOI:10.1155/S0161171292000875
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The following theorem is proved and several fixed point theorems and coincidence theorems are derived as corollaries. Let C be a nonempty convex subset of a normed linear space X, f:C→X a continuous function, g:C→C continuous, onto and almost quasi-convex. Assume that C has a nonempty compact convex subset D such that the setA={y∈C:‖g(x)−f(y)‖≥‖g(y)−f(y)‖   for   all   x∈D}is compact.
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