Vector Variational Inequalities Involving Set-valued Mappings via Scalarization with Applications to Error Bounds for Gap Functions

Journal of Optimization Theory and Applications ◽

10.1007/s10957-009-9625-1 ◽

2009 ◽

Vol 145 (2) ◽

pp. 355-372 ◽

Author(s):

J. Li ◽

G. Mastroeni

Keyword(s):

Variational Inequalities ◽

Error Bounds ◽

Vector Variational Inequalities ◽

Gap Functions ◽

Set Valued Mappings

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Gap functions and error bounds for weak vector variational inequalities

Optimization ◽

10.1080/02331934.2012.721115 ◽

2012 ◽

Vol 63 (9) ◽

pp. 1339-1352 ◽

Author(s):

Y.D. Xu ◽

S.J. Li

Keyword(s):

Variational Inequalities ◽

Error Bounds ◽

Vector Variational Inequalities ◽

Gap Functions ◽

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Gap functions and error bounds for generalized vector variational inequalities

Optimization Letters ◽

10.1007/s11590-013-0685-7 ◽

2013 ◽

Vol 8 (5) ◽

pp. 1663-1673 ◽

Author(s):

Xiang-Kai Sun ◽

Yi Chai

Keyword(s):

Variational Inequalities ◽

Error Bounds ◽

Vector Variational Inequalities ◽

Gap Functions ◽

Generalized Vector Variational Inequalities

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GAP FUNCTIONS AND GLOBAL ERROR BOUNDS FOR SET-VALUED MIXED VARIATIONAL INEQUALITIES

Taiwanese Journal of Mathematics ◽

10.11650/tjm.17.2013.2247 ◽

2013 ◽

Vol 17 (4) ◽

pp. 1267-1286 ◽

Author(s):

Nan-jing Huang ◽

Guo-ji Tang

Keyword(s):

Variational Inequalities ◽

Error Bounds ◽

Global Error ◽

Gap Functions ◽

Mixed Variational Inequalities

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Generalized gap functions and error bounds for generalized variational inequalities

Applied Mathematics and Mechanics ◽

10.1007/s10483-009-0305-x ◽

2009 ◽

Vol 30 (3) ◽

pp. 313-321

Author(s):

Yan-hong Hu ◽

Wen Song

Keyword(s):

Variational Inequalities ◽

Error Bounds ◽

Gap Functions ◽

Generalized Variational Inequalities

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Gap functions and global error bounds for set-valued variational inequalities

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.11.041 ◽

2010 ◽

Vol 233 (11) ◽

pp. 2956-2965 ◽

Author(s):

Jianghua Fan ◽

Xiaoguo Wang

Keyword(s):

Variational Inequalities ◽

Error Bounds ◽

Global Error ◽

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Gap Functions and Global Error Bounds for Generalized Mixed Variational Inequalities on Hadamard Manifolds

Journal of Optimization Theory and Applications ◽

10.1007/s10957-015-0834-5 ◽

2015 ◽

Vol 168 (3) ◽

pp. 830-849 ◽

Author(s):

Xiao-bo Li ◽

Li-wen Zhou ◽

Nan-jing Huang

Keyword(s):

Variational Inequalities ◽

Error Bounds ◽

Global Error ◽

Gap Functions ◽

Hadamard Manifolds ◽

Mixed Variational Inequalities ◽

Generalized Mixed Variational Inequalities

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Gap Functions and Existence of Solutions to Set-Valued Vector Variational Inequalities

Journal of Optimization Theory and Applications ◽

10.1023/a:1020844423345 ◽

2002 ◽

Vol 115 (2) ◽

pp. 407-417 ◽

Author(s):

X.Q. Yang ◽

J.C. Yao

Keyword(s):

Variational Inequalities ◽

Existence Of Solutions ◽

Vector Variational Inequalities ◽

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Weak sharpness for gap functions in vector variational inequalities

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.04.081 ◽

2012 ◽

Vol 394 (2) ◽

pp. 449-457 ◽

Author(s):

N.J. Huang ◽

J. Li ◽

X.Q. Yang

Keyword(s):

Variational Inequalities ◽

Vector Variational Inequalities ◽

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Gap functions for constrained vector variational inequalities with applications

Optimization ◽

10.1080/02331934.2017.1359593 ◽

2017 ◽

Vol 66 (12) ◽

pp. 2171-2191 ◽

Author(s):

Y. D. Xu ◽

P. P. Zhang

Keyword(s):

Variational Inequalities ◽

Vector Variational Inequalities ◽

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Gap functions and existence of solutions to generalized vector variational inequalities

Applied Mathematics Letters ◽

10.1016/j.aml.2004.06.029 ◽

2005 ◽

Vol 18 (9) ◽

pp. 989-1000 ◽

Author(s):

Jun Li ◽

Zhong-Quan He

Keyword(s):

Variational Inequalities ◽

Existence Of Solutions ◽

Vector Variational Inequalities ◽

Gap Functions ◽

Generalized Vector Variational Inequalities

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