
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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