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

被引：23

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

页码：151 / 167

页数：17

共 31 条

[1] On the stability of the solution sets of general multivalued vector quasiequilibrium problems [J].

Anh, L. Q. ;

Khanh, P. Q. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2007, 135 (02) :271-284

[2] On the Holder continuity of solutions to parametric multivalued vector equilibrium problems [J].

Anh, L. Q. ;

Khanh, P. Q. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (01) :308-315

[3] On Holder continuity of approximate solutions to parametric equilibrium problems [J].

Anh, L. Q. ;

Khanh, P. Q. ;

Tam, T. N. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) :2293-2303

[4] Holder Continuity of the Unique Solution to Quasiequilibrium Problems in Metric Spaces [J].

Anh, L. Q. ;

Khanh, P. Q. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 141 (01) :37-54

[5] Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems [J].

Anh, Lam Quoc ;

Khanh, Phan Quoc .

JOURNAL OF GLOBAL OPTIMIZATION, 2008, 41 (04) :539-558

[6] Uniqueness and Holder continuity of the solution to multivalued equilibrium problems in metric spaces [J].

Anh, Lam Quoc ;

Khanh, Phan Quoc .

JOURNAL OF GLOBAL OPTIMIZATION, 2007, 37 (03) :449-465

[7] Continuity of solution maps of parametric quasiequilibrium problems [J].

Anh, Lam Quoc ;

Khanh, Phan Quoc .

JOURNAL OF GLOBAL OPTIMIZATION, 2010, 46 (02) :247-259

[8] Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems [J].

Anh, LQ ;

Khanh, PQ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (02) :699-711

[9]

[Anonymous], 2000, MATH THEORIES NONCON

[10]

Aubin JP, 2009, Modern Birkhauser classics, DOI [10.1007/978-0-8176-4848-0, DOI 10.1007/978-0-8176-4848-0]

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