On Holder continuity of solution maps of parametric primal and dual Ky Fan inequalities

被引：21

作者：

Anh, L. Q. ^{[1
]}

Khanh, P. Q. ^{[2
,3
]}

Tam, T. N. ^{[4
]}

机构：

[1] Cantho Univ, Teacher Coll, Dept Math, Can Tho, Vietnam

[2] Vietnam Natl Univ Hochiminh City, Int Univ, Dept Math, Ho Chi Minh City, Vietnam

[3] Federat Univ Australia, Ballarat, Vic 3350, Australia

[4] Taydo Univ, Dept Math, Teacher Coll, Can Tho, Vietnam

来源：

TOP | 2015年 / 23卷 / 01期

关键词：

Holder continuity; Parametric Ky Fan inequalities; Parametric dual Ky Fan inequalities; Strong convexity; Constrained minimization; Variational inequalities; QUASI-EQUILIBRIUM PROBLEMS; GENERALIZED MONOTONE BIFUNCTIONS; SENSITIVITY-ANALYSIS; METRIC-SPACES; SOLUTION MAPPINGS; SOLUTION SETS; SEMICONTINUITY; STABILITY; EXISTENCE;

D O I：

10.1007/s11750-014-0332-1

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider parametric primal and dual Ky Fan inequalities in metric linear spaces. Sufficient conditions for Holder continuity of solutions are established. Many examples are provided to illustrate the essentialness of the imposed assumptions and advantages of the results over existing ones. As applications, we derive this Holder continuity of solutions for constrained minimization and variational inequalities.

引用

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页码：151 / 167

页数：17

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