Results 211 to 220 of about 740 (263)

Variational Inequalities in Vector Optimization

2007
In this paper we investigate the links among generalized scalar variational inequalities of differential type, vector variational inequalities and vector optimization problems. The considered scalar variational inequalities are obtained through a nonlinear scalarization by means of the so called “oriented distance” function [14,15].
GIOVANNI P. CRESPI, IVANOV, IVAN GINCHEV, ROCCA, MATTEO   +2 more
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Decomposable Generalized Vector Variational Inequalities

2005
In this paper, we consider vector variational inequalities with set-valued mappings over product sets in a real linear topological space setting. By employing concepts of relative pseudomonotonicity with variable weights, we establish several existence results for generalized vector variational inequalities and for systems of generalized vector ...
ALLEVI, Elisabetta, A. GNUDI, I. V. KONNOV   +2 more
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On Vector Variational Inequalities: Application to Vector Equilibria

Journal of Optimization Theory and Applications, 1997
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Yang, X. Q., Goh, C. J.
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Vector Variational Inequality and Vector Pseudolinear Optimization

Journal of Optimization Theory and Applications, 1997
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Nonsmooth Vector Variational Inequalities

2017
In this chapter, we define different kinds of nonsmooth vector variational inequality problems by means of a bifunction. Several existence results for solutions of these nonsmooth vector variational inequality problems are studied. We give some relations among different kinds of solutions of nonsmooth vector optimization problems and nonsmooth ...
Qamrul Hasan Ansari, Elisabeth Köbis, Jen-Chih Yao   +2 more
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Topological Variants of Vector Variational Inequality Problem

La Matematica, 2022
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Satish Kumar, Ankit Gupta, Pankaj Kumar Garg   +2 more
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Monotone affine vector variational inequalities

Optimization, 2011
By using a stability theorem of S.M. Robinson and a scalarization method, we establish sufficient conditions for the upper semicontinuity of the solution maps of parametric monotone affine vector variational inequalities. As a by-product, some new topological properties of the solution sets of these problems are obtained.
N.D. Yen, J.-C. Yao
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On Minty Vector Variational Inequality

2000
The analysis of the connections among generalized systems, Vector Optimization Problems and Variational Inequalities allows to deepen the study of the properties of the Minty Vector Variational Inequality. In particular, under suitable regularity assumptions,the equivalence between Minty Vector Variational Inequality and Stampacchia Vector Variational ...
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Vector Variational Inequality and Vector Optimization Problem

1987
The theory as well as the application of the variational inequality have been well documented in the literature. In recent years, various extensions of this problems have been proposed and analyzed. Perhaps the most general extension of the variational inequality in the one studied by Giannessi [1].
Guang-Ya Chen, Ging-Min Cheng
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Vector Variational Inequalities for Nondifferentiable Convex Vector Optimization Problems

Journal of Global Optimization, 2005
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Lee, Gue Myung, Lee, Kwang Baik
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