Directional and approximate efficiency in set optimization

Marius Durea () and Elena-Andreea Florea ()
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Marius Durea: Alexandru Ioan Cuza University
Elena-Andreea Florea: Alexandru Ioan Cuza University

Mathematical Methods of Operations Research, 2023, vol. 98, issue 3, No 5, 435-459

Abstract: Abstract 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.

Keywords: Set optimization; Penalization; Properness; Optimality conditions; 49J53; 90C46; 54C60 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s00186-023-00840-1

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