Convergence of relaxed minimizers in set optimization |
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| Authors: | Michel H Geoffroy Yvesner Marcelin Diana Nedelcheva |
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| Institution: | 1.LAMIA, Department of Mathematics,Université des Antilles,Pointe-à-Pitre,France;2.Department of Mathematics,Technical University,Varna,Bulgaria |
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| Abstract: | In this paper we investigate, in a unified way, the stability of several relaxed minimizers of set optimization problems. To this end, we introduce a topology on vector ordered spaces from which we derive a concept of convergence that allows us to study both the upper and the lower stability of the sets of relaxed minimizers we consider. |
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