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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EXISTENCE THEOREMS FOR GENERALIZED VECTOR VARIATIONAL INEQUALITIES WITH PSEUDOMONOTONICITY AND THEIR APPLICATIONS

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500602494 ◽

2008 ◽

Vol 12 (1) ◽

pp. 151-172 ◽

Author(s):

G. Y. Chen ◽

X. X. Huang ◽

Jen-Chih Yao

Keyword(s):

Variational Inequalities ◽

Existence Theorems ◽

Vector Variational Inequalities ◽

Generalized Vector Variational Inequalities

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Existence theorems for generalized vector variational inequalities with a variable ordering relation

Journal of Global Optimization ◽

10.1007/s10898-009-9436-9 ◽

2009 ◽

Vol 46 (4) ◽

pp. 521-535 ◽

Author(s):

Lu-Chuan Ceng ◽

Shuechin Huang

Keyword(s):

Variational Inequalities ◽

Existence Theorems ◽

Vector Variational Inequalities ◽

Generalized Vector Variational Inequalities ◽

Variable Ordering

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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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Duality Results for Generalized Vector Variational Inequalities with Set-Valued Maps

Journal of Optimization Theory and Applications ◽

10.1007/s10957-007-9342-6 ◽

2007 ◽

Vol 136 (1) ◽

pp. 105-123 ◽

Author(s):

P. H. Sach ◽

D. S. Kim ◽

L. A. Tuan ◽

G. M. Lee

Keyword(s):

Variational Inequalities ◽

Vector Variational Inequalities ◽

Duality Results ◽

Generalized Vector Variational Inequalities

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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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Generalized Vector Variational Inequalities

Journal of Optimization Theory and Applications ◽

10.1023/a:1022640130410 ◽

1997 ◽

Vol 92 (1) ◽

pp. 117-125 ◽

Author(s):

K. L. Lin ◽

D. P. Yang ◽

J. C. Yao

Keyword(s):

Variational Inequalities ◽

Vector Variational Inequalities ◽

Generalized 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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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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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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Pre-vector variational inequalities

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700016725 ◽

1996 ◽

Vol 53 (1) ◽

pp. 63-70 ◽

Author(s):

Lai-Jiu Lin

Keyword(s):

Variational Inequalities ◽

Existence Theorems ◽

Vector Variational Inequalities ◽

Invex Functions ◽

Existence theorems for pre-vector variational inequalities are established under different conditions on the operator T and the function η. As an application, we establish the existence of a weak minimum of an optimisation problem on η-invex functions.

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