Directional and approximate efficiency in set optimization

We investigate, in the framework of set optimization, some issues that are well studied in vectorial setting, that is, penalization procedures, properness of solutions and optimality conditions on primal spaces. Therefore, with this study we aim at completing the literature dedicated to set optimiza...

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Bibliographic Details
Published in:Mathematical methods of operations research (Heidelberg, Germany) Germany), 2023-12, Vol.98 (3), p.435-459
Main Authors: Durea, Marius, Florea, Elena-Andreea
Format: Article
Language:English
Subjects:
Business and Management
Calculus of Variations and Optimal Control
Optimization
Efficiency
Investigations
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
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Summary:We investigate, in the framework of set optimization, some issues that are well studied in vectorial setting, that is, penalization procedures, properness of solutions and optimality conditions on primal spaces. Therefore, with this study we aim at completing the literature dedicated to set optimization with some results that have well established correspondence in the classical vector optimization.
ISSN:1432-2994
1432-5217
DOI:10.1007/s00186-023-00840-1