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Vector Variational Inequality and Vector Pseudolinear Optimization

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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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Authors and Affiliations

  1. Department of Mathematics, University of Western Australia, Nedlands, Western Australia, Australia

    X. Q. Yang (Lecturer)

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  1. X. Q. Yang
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Yang, X.Q. Vector Variational Inequality and Vector Pseudolinear Optimization. Journal of Optimization Theory and Applications 95, 729–734 (1997). https://doi.org/10.1023/A:1022694427027

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  • DOI: https://doi.org/10.1023/A:1022694427027

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