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Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (5): 665-672 .doi: https://doi.org/10.1007/s10483-008-0510-x

• Articles • 上一篇    下一篇

G-凸空间的择一原理和极大极小不等式

M.巴拉奇   

  1. 奥拉迪亚大学数学系，奥拉迪亚 410087，罗马尼亚
  • 收稿日期:2007-03-16 修回日期:2008-03-14 出版日期:2008-05-18 发布日期:2008-05-18

Alternative principles and minimax inequalities in G-convex spaces

Mircea Balaj   

  1. Department of Mathematics, University of Oradea, 410087 Oradea, Romania
  • Received:2007-03-16 Revised:2008-03-14 Online:2008-05-18 Published:2008-05-18
  • Contact: Mircea Balaj

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摘要： 利用Kuo、Jeng和Huang提出的不动点定理，给出了G-凸空间中关于3个映射值的非常一般的相交定理。由此结果依次导出了关于极大元、解析择一和极大极小不等式的择一定理。

Abstract: Using a fixed point theorem by Kuo, Jeng and Huang, we obtain in G-convex spaces a very general intersection theorem concerning the values of three maps. From this result we derive successively alternative theorems concerning maximal elements, analytic alternatives and minimax inequalities.

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