On the Stability of Solution Mappings Parametric Generalized Vector Quasivariational Inequality Problems of the Minty Type

On the Stability of Solution Mappings Parametric Generalized Vector Quasivariational Inequality Problems of the Minty Type

In this paper, we study two parametric weak and strong vector quasivariational inequality problems of the Minty type. The stability properties of the exact solution sets and approximate solution sets for these problems such as the upper semicontinuity, the lower semicontinuity, the Hausdorff lower s...

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Veröffentlicht in:Filomat 2017-01, Vol.31 (3), p.747-757
Hauptverfasser: Anh, Lam Quoc, Van Hung, Nguyen
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Sprache:eng
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College mathematics
Mathematical inequalities
Mathematical vectors
Topological vector spaces
Variational inequalities
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description In this paper, we study two parametric weak and strong vector quasivariational inequality problems of the Minty type. The stability properties of the exact solution sets and approximate solution sets for these problems such as the upper semicontinuity, the lower semicontinuity, the Hausdorff lower semicontinuity, the continuity and the Hausdorff continuity are obtained. The results presented in the paper improve and extend the main results in the literature.
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subjects College mathematics
Mathematical inequalities
Mathematical vectors
Topological vector spaces
Variational inequalities
title On the Stability of Solution Mappings Parametric Generalized Vector Quasivariational Inequality Problems of the Minty Type
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