Existences Theorems of Systems of Vector Quasi-Equilibrium Problems and Mathematical Programs with Equilibrium Constraint

碩士 === 國立彰化師範大學 === 數學系所 === 93 === In this paper, we introduce systems of vector quasi equilibrium problems and prove the existence of their solutions. As applications of our results, we derive the theorem for solution of system of vector quasi-saddle point problem and then prove the existences of...

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Main Authors:	Hsu, Huai Wen, 許懷文
Other Authors:	Lin, Lai Jiu
Format:	Others
Language:	en_US
Published:	2005
Online Access:	http://ndltd.ncl.edu.tw/handle/93477569037225667220

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spelling	ndltd-TW-093NCUE54790082016-06-03T04:13:55Z http://ndltd.ncl.edu.tw/handle/93477569037225667220 Existences Theorems of Systems of Vector Quasi-Equilibrium Problems and Mathematical Programs with Equilibrium Constraint 系統向量擬平衡點問題及平衡限制數學規劃問題 Hsu, Huai Wen 許懷文碩士國立彰化師範大學數學系所 93 In this paper, we introduce systems of vector quasi equilibrium problems and prove the existence of their solutions. As applications of our results, we derive the theorem for solution of system of vector quasi-saddle point problem and then prove the existences of a solution of system of generalized quasi-minimax inequalities. Further application of our results is also given to the mathematical program with equilibrium constraint, semi-infinite and bilevel problems. Lin, Lai Jiu 林來居 2005 學位論文 ; thesis 48 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立彰化師範大學 === 數學系所 === 93 === In this paper, we introduce systems of vector quasi equilibrium problems and prove the existence of their solutions. As applications of our results, we derive the theorem for solution of system of vector quasi-saddle point problem and then prove the existences of a solution of system of generalized quasi-minimax inequalities. Further application of our results is also given to the mathematical program with equilibrium constraint, semi-infinite and bilevel problems.
author2	Lin, Lai Jiu
author_facet	Lin, Lai Jiu Hsu, Huai Wen 許懷文
author	Hsu, Huai Wen 許懷文
spellingShingle	Hsu, Huai Wen 許懷文 Existences Theorems of Systems of Vector Quasi-Equilibrium Problems and Mathematical Programs with Equilibrium Constraint
author_sort	Hsu, Huai Wen
title	Existences Theorems of Systems of Vector Quasi-Equilibrium Problems and Mathematical Programs with Equilibrium Constraint
title_short	Existences Theorems of Systems of Vector Quasi-Equilibrium Problems and Mathematical Programs with Equilibrium Constraint
title_full	Existences Theorems of Systems of Vector Quasi-Equilibrium Problems and Mathematical Programs with Equilibrium Constraint
title_fullStr	Existences Theorems of Systems of Vector Quasi-Equilibrium Problems and Mathematical Programs with Equilibrium Constraint
title_full_unstemmed	Existences Theorems of Systems of Vector Quasi-Equilibrium Problems and Mathematical Programs with Equilibrium Constraint
title_sort	existences theorems of systems of vector quasi-equilibrium problems and mathematical programs with equilibrium constraint
publishDate	2005
url	http://ndltd.ncl.edu.tw/handle/93477569037225667220
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Existences Theorems of Systems of Vector Quasi-Equilibrium Problems and Mathematical Programs with Equilibrium Constraint

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