Journal of Applied and Numerical Optimization

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DOI: 10.23952/jano.8.2026.3.08
Volume 8, Issue 3, 1 December 2026, Pages 465-473

 

Abstract. This paper studies approximate solutions of a linear fractional vector optimization problem without requiring boundedness of the constraint set. We establish necessary and sufficient conditions for approximating weakly efficient points of such a problem via some properties of the objective function and a technical lemma related to the intersection of the topological closure of the cone generated by a subset of the Euclidean space and the interior of the negative orthant. We obtain necessary conditions and sufficient conditions for approximate efficient solutions of our problem. Applications of these results to linear vector optimization are also considered.

 

How to Cite this Article:
N.T.T. Huong, Approximate solutions in linear fractional vector optimization, J. Appl. Numer. Optim. 8 (2026), 465-473.