
Vietnam Journal of Mathematics 33:4 (2005)
477489

On the Parametric Affine Variational
Inequality Approach to Linear Fractional Vector Optimization Problems

T. N. Hoa, T. D. Phuong, and N. D. Yen

Abstract. Yen and Phuong (2000) have shown
that the efficient solution set of a linear fractional vector optimization
problem can be regarded as the image of the solution map of a specific
parametric monotone affine variational
inequality. This paper establishes some facts about the domain, the image
and the continuity of this solution map (called the basic multifunction),
provided that the linear fractional vector optimization problem under
consideration satisfies an additional assumption. The results can lead to
some upper estimates for the number of components in the solution sets of
linear fractional vector optimization problems.



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