New Results on Henig Proper Generalized Vector Quasiequilibrium Problems

被引：2

作者：

Pham Huu Sach ^{[1
]}

Nguyen Ba Minh ^{[2
]}

机构：

[1] Vietnam Acad Sci & Technol, Hanoi Inst Math, Hanoi 10307, Vietnam

[2] Hanoi Univ Commerce, Hanoi, Vietnam

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 03期

关键词：

49K40; 90C31; Set-valued map; Scalarization function; Proper efficiency; Cone-preconcavity; Existence result; Quasiequilibrium problem; VARIATIONAL INCLUSION PROBLEMS; EXISTENCE; THEOREMS;

D O I：

10.1080/01630563.2014.976795

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New sufficient conditions are given for the existence of solutions of a Henig proper generalized vector quasiequilibrium problem with moving cones. They are established by a new scalarizing approach, which is based on a suitable nonlinear scalarization function, proposed recently for set-valued maps in Sach and Tuan (J. Optim. Theory Appl. 157:347-364 (2013)). Examples are given to illustrate our main results.

引用

页码：387 / 403

页数：17

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