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研究生:鄒佳芳
研究生(外文):Chia-Fang Tsou
論文名稱:在超凸度量空間上的推廣型變分不等式定理和大中取小不等式定理
論文名稱(外文):Generalized Variational Inequality Theorems and Minimax Inequality Theorems on Hyperconvex Metric Spaces
指導教授:張東輝張東輝引用關係
學位類別:碩士
校院名稱:國立新竹教育大學
系所名稱:人資處數學教育碩士班
學門:教育學門
學類:普通科目教育學類
論文種類:學術論文
論文出版年:2006
畢業學年度:95
語文別:英文
論文頁數:18
中文關鍵詞:超凸度量空間KKM(XY)度量化-擬凹函數變分不等式大中取小不等式
外文關鍵詞:hyperconvex metric spaceKKM(XY)metrically-quasi-concavevariational inequalityminimax inequality
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  • 被引用被引用:0
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  • 下載下載:4
  • 收藏至我的研究室書目清單書目收藏:0
在本篇論文中,我們利用超凸度量空間的性質證明了可允許集的交集性質。利用這個性質,我們證得一些推廣型的變分不等式。我們也證明了四個實值函數,在某些假設條件之下的一些大中取小不等式的存在性定理。
In this paper, we use the property of hyperconvex metric space to establish an intersection property about a family of admissible sets. Applying this intersection property we establish some generalized variational inequality theorems. We also establish some minimax inequality theorems concerning four real-valued mappings under some assumptions.
CONTENTS
1.INTRODUCTION--------------------------------------------05
2.PRELIMINARIES-------------------------------------------06
3.MAIN RESULTS--------------------------------------------10
4.REFERENCES----------------------------------------------17
REFERENCES
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