期刊文献+

Ky Fan极大极小不等式定理的推广

A Generalization of Fan Ky's Minimax Inequality
下载PDF
导出
摘要 基于Ky Fan极大极小不等式定理,本文统一和改进了紧性和连续性条件,将Ky Fan极大极小不等式定理推至非紧情形且只需较弱的连续性。 In this paper, based on Fan Ky' s Minimax Inequality, the authors unify and improve the corresponding resuits. The results constructed on non - compact set and generalized the Fan Ky' s Minimax Inequality to the functions with weak continuity.
作者 陈静 杨剑锋
机构地区 贵州大学理学院
出处 《贵阳学院学报(自然科学版)》 2011年第2期15-17,共3页 Journal of Guiyang University:Natural Sciences
关键词 KY Fan极大极小不等式 上(下)半连续 拟凸(凹) 弱下半连续 非紧集 Fan Ky's Minimax Inequality upper (Lower) inequality semi -continuous (concave) weak lower inequality non - compact set
  • 相关文献

参考文献6

二级参考文献26

  • 1Fan K. A minimax inequality and its applications, in: Inequalities Ⅲ, edited by O. Shisha [ M ]. New York: Academic Press, 1972.
  • 2Tan K K, Yu J, Yuan X Z. The stability of Ky Fan' s points[J]. Proc. Amer. Math. Soc, 1995, 123:1511- 1519.
  • 3Yuan X Z. Knaster - Kuratowski - Mazurkiewicz theorem, Ky Fan minimax inequalities and fixed point theorems [J]. Nonlin. World,1995,2:130 - 169.
  • 4Fan K. A generalization of Tychonoff' s fixed - point Theorem[J]. Math. Ann. 1961,142: 305 -310.
  • 5Horvath C. Contractibity and generalized convexity [ J ] Math. Anal. Appl, 1991,156:341-357.
  • 6Tian G Q, Zhou J X. Quasi - Variational inequalities with non-compact sets[J]. Math. Anal. Appl, 1991, 160: 583 - 595.
  • 7Tan K K, Yu J, Yan X Z. Some new minimax inequalities and applications to existence theorem of equilibria in H - spaces [J]. Nonlinear Analysis TMA, 1995, 24:1457 - 1470.
  • 8Tian G Q, Zhou J X. Transfer continuities, generalizations of the Weierstrass and maximum theorems: a full characterization[J]. J Math. Economics, 1995, 24:28 - 303.
  • 9Yao J C. Generalized - quasi - variational inequality problems with discontinuous mappings [ J ]. Math. Oper. Res, 1995, 20:465 - 478.
  • 10Chu L J. On Fan' s minimax inequality [ J ]. Math. Anal. Appl, 1996, 336:463-496.

共引文献5

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部