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Stability results for approximately efficient solutions
Authors:Christiane Tammer
Affiliation:(1) Department of Mathematics and Informatics, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle/Saale, Germany
Abstract:We introduce a concept for approximately efficient solutions in vector optimization and compare it with another recent concept given in [8]. Further, we study relations between the set of approximately efficient solutions of a vector optimization problem and the approximate solutions of a corresponding parametric surrogate optimization problem. Finally, we prove stability properties for the scalar surrogate problem.
Keywords:Vector optimization  approximately efficient solutions  stability
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