On the Solution Existence of Convex Quadratic Programming Problems in Hilbert Spaces

作     者：Vu Van Dong Nguyen Nang Tam 

作者机构：Phuc Yen Coll Ind Hai Phong City Cam Pha Town Vietnam Hanoi Pedag Inst 2 Hanoi Vietnam 

出 版 物：《TAIWANESE JOURNAL OF MATHEMATICS》 (Taiwanese J. Math.)

年 卷 期：2016年第20卷第6期

页      面：1417-1436页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.01-2014.39] 

主　　题：Convex quadratic programming Solution existence Legendre form Recession cone Hilbert spaces Finite-rank operator 

摘      要：We provide solution existence results for the convex quadratic programming problems in Hilbert spaces, which the constraint set is defined by finitely many convex quadratic inequalities. In order to obtain our results, we shall use either the properties of the Legendre form or the properties of the finite-rank operator. The existence results are established without requesting neither coercivity of the objective function nor compactness of the constraint set.