generalized vector variational inequalities
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On the Applications of Nonsmooth Vector Optimization Problems to Solve Generalized Vector Variational Inequalities Using Convexificators

Advances in Intelligent Systems and Computing - Optimization of Complex Systems: Theory, Models, Algorithms and Applications ◽

10.1007/978-3-030-21803-4_66 ◽

2019 ◽

pp. 660-671 ◽

Author(s):

Balendu Bhooshan Upadhyay ◽

Priyanka Mishra ◽

Ram N. Mohapatra ◽

Shashi Kant Mishra

Keyword(s):

Variational Inequalities ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Variational Inequalities ◽

Vector Optimization Problems ◽

Generalized Vector Variational Inequalities ◽

Nonsmooth Vector Optimization

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Generalized Vector Variational Inequalities

Vector Optimization - Vector Variational Inequalities and Vector Optimization ◽

10.1007/978-3-319-63049-6_8 ◽

2017 ◽

pp. 299-338

Author(s):

Qamrul Hasan Ansari ◽

Elisabeth Köbis ◽

Jen-Chih Yao

Keyword(s):

Variational Inequalities ◽

Vector Variational Inequalities ◽

Generalized Vector Variational Inequalities

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Nonsmooth Multiobjective Problems and Generalized Vector Variational Inequalities Using Quasi-Efficiency

Journal of Optimization Theory and Applications ◽

10.1007/s10957-017-1179-z ◽

2017 ◽

Vol 179 (3) ◽

pp. 896-916

Author(s):

M. Golestani ◽

H. Sadeghi ◽

Y. Tavan

Keyword(s):

Variational Inequalities ◽

Vector Variational Inequalities ◽

Generalized Vector Variational Inequalities ◽

Multiobjective Problems

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A Study of Generalized Vector Variational Inequalities via Vector Optimization Problems

Vietnam Journal of Mathematics ◽

10.1007/s10013-017-0257-8 ◽

2017 ◽

Vol 46 (1) ◽

pp. 33-52

Author(s):

Marius Durea ◽

Elena-Andreea Florea

Keyword(s):

Variational Inequalities ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Variational Inequalities ◽

Vector Optimization Problems ◽

Generalized Vector Variational Inequalities

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On the existence theorems of solutions for generalized vector variational inequalities

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0856-4 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Shih-sen Chang ◽

Salahuddin ◽

Gang Wang

Keyword(s):

Variational Inequalities ◽

Existence Theorems ◽

Vector Variational Inequalities ◽

Generalized Vector Variational Inequalities

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On the existence theorems of solutions for generalized vector variational inequalities

Applied Mathematical Sciences ◽

10.12988/ams.2015.55382 ◽

2015 ◽

Keyword(s):

Variational Inequalities ◽

Existence Theorems ◽

Vector Variational Inequalities ◽

Generalized Vector Variational Inequalities

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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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A Note on Scalar-Valued Gap Functions for Generalized Vector Variational Inequalities

Abstract and Applied Analysis ◽

10.1155/2013/492103 ◽

2013 ◽

Vol 2013 ◽

pp. 1-4

Author(s):

Xiang-Kai Sun ◽

Hong-Yong Fu ◽

Yi Chai

Keyword(s):

Variational Inequalities ◽

Vector Variational Inequalities ◽

Gap Functions ◽

Mild Conditions ◽

Generalized Vector Variational Inequalities

This paper is concerned with gap functions of generalized vector variational inequalities (GVVI). By using scalarization approach, scalar-valued variational inequalities of (GVVI) are introduced. Some relationships between the solutions of (GVVI) and its scalarized versions are established. Then, by using these relationships and some mild conditions, scalar-valued gap functions for (GVVI) are established.

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Decomposition of generalized vector variational inequalities

Nonlinear Analysis ◽

10.1016/j.na.2011.05.070 ◽

2012 ◽

Vol 75 (3) ◽

pp. 1516-1523 ◽

Author(s):

Nicolae Popovici ◽

Matteo Rocca

Keyword(s):

Variational Inequalities ◽

Vector Variational Inequalities ◽

Generalized Vector Variational Inequalities

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Existence conditions for generalized vector variational inequalities

Annals of Operations Research ◽

10.1007/s10479-011-0955-7 ◽

2011 ◽

Vol 191 (1) ◽

pp. 255-262 ◽

Author(s):

M. Durea ◽

R. Strugariu

Keyword(s):

Variational Inequalities ◽

Vector Variational Inequalities ◽

Generalized Vector Variational Inequalities ◽

Existence Conditions

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