Vector Variational Inequality and Vector Pseudolinear Optimization |
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Authors: | X Q Yang |
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Institution: | (1) Department of Mathematics, University of Western Australia, Nedlands, Western Australia, Australia |
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Abstract: | The study of a vector variational inequality has been advanced because it has many applications in vector optimization problems and vector equilibrium flows. In this paper, we discuss relations between a solution of a vector variational inequality and a Pareto solution or a properly efficient solution of a vector optimization problem. We show that a vector variational inequality is a necessary and sufficient optimality condition for an efficient solution of the vector pseudolinear optimization problem. |
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Keywords: | Vector variational inequalities vector optimization optimality conditions |
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