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Vietnam Journal of Mathematics 33:4 (2005)
477-489
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On the Parametric Affine Variational Inequality
Approach to Linear Fractional Vector Optimization Problems
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T. N. Hoa, T. D.
Phuong, and N. D. Yen
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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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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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