Results 281 to 290 of about 70,468 (320)

Generalized vector variational inequalities over product sets

Nonlinear Analysis: Theory, Methods & Applications, 2001
In this paper, we consider vector variational inequalities with set-valued mappings over product sets in a topological vector space setting. By employing concepts of relative pseudomonotonicity, we establish several existence results for generalized vector variational inequalities and for systems of generalized vector variational inequalities.
ALLEVI, Elisabetta, A. GNUDI, I. V. KONNOV   +2 more
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Generalized Vector Variational Inequalities

2000
A vector and a set-valued generalization of Ky Fan minimax principle are proved. As application, several existence theorems for Generalized Vector Variational Inequalities with set-valued operators which have either lower (upper) semicontinuous or pseudomonotone properties in topological vector spaces are derived.
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On Affine Vector Variational Inequality

2003
The concept of vector variational inequality was introduced by Giannessi ([3]) in 1980. Since then, various vector variational inequalities and their applications to multiobjective (vector) optimization problems have been studied. Very recently, many authors ([1,4,9,10,11]) have investigated the connectedness of solution sets of vector variational ...
Gue Myung Lee, Kwang Baik Lee
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Minty’s lemma and vector variational-like inequalities

Journal of Global Optimization, 2007
The authors obtain two vector versions of Minty's Lemma and deduce existence theorems for the solvability of three classes of vector variational-like inequalities in normed spaces. They prove solvability results for these classes of generalized vector variational-like inequalities under certain pseudomonotonicity assumptions, as well as without ...
Chinaie, M., Jabarootian, T., Rezaie, M., Zafarani, J.   +3 more
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On Inverse Vector Variational Inequalities

2000
We study inverse (or dual) vector variational inequalities. Various relations among original vector variational inequalities and original vector variational inequalities are clarified. Examples are given to show relations of inverse vector variational inequalities with vector optimization problems.
Xiao Qi Yang, Guang-ya Chen
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Vector Variational Inequalities in a Hausdorff Topological Vector Space

2000
Summary: Using a Fan-Browder type fixed-point theorem, we prove two theorems on the existence of solutions of vector variational inequalities in a Hausdorff topological vector space. Our results are fairly general enough to sharpen and cover earlier corresponding results.
Lee, Gue Myung, Kum, Sangho
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Simultaneous Vector Variational Inequalities and Vector Implicit Complementarity Problem

Journal of Optimization Theory and Applications, 1997
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Generalized vector variational inequalities for multifunctions

1997
Summary: We consider a generalized vector variational inequality and a generalized vector quasivariational inequality for multifunctions, and give some existence theorems of solutions for our inequalities.
Lee, Byung-Soo, Lee, Gue Myung, Chang, Shih-Sen   +2 more
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Vector Equilibrium Problems and Vector Variational Inequalities

2000
In this paper, we consider vector equilibrium problems and prove the existence of their solutions in the setting of Hausdorff topological vector spaces. We also derive some existence results for the scalar and vector variational inequalities.
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Generalized Vector Variational-Like Inequalities

2000
In this paper, we obtain existence theorems for generalized vector variational-like inequalities both under compact and non-compact assumptions. The use of the concept of escaping sequences is crucial for this analysis.
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