Strict directional solutions in vectorial problems: necessary optimality conditions

Mohamed Ait Mansour (), Marius Durea () and Hassan Riahi ()
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Mohamed Ait Mansour: Université Cadi Ayyad
Marius Durea: “Alexandru Ioan Cuza” University
Hassan Riahi: Université Cadi Ayyad

Journal of Global Optimization, 2022, vol. 82, issue 1, No 6, 119-138

Abstract: Abstract We study directional strict efficiency in vector optimization and equilibrium problems with set-valued map objectives. We devise several possibilities to define a meaningful concept of strict efficiency in a directional sense for these kinds of problems and then we present necessary optimality conditions from several perspectives by means of generalized differentiation calculus. A concept of generalized convexity for multimappings is employed as well and its role in getting equivalence between some classes of solutions is emphasized.

Keywords: Strict efficiency; Necessary optimality conditions; Vector equilibriums; Generalized convexity; 54C60; 46G05; 90C46 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10898-021-01067-2

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