Dini and Hadamard directional derivatives in multiobjective optimization: an overview of some results

Giorgio Giorgi (), Bienvenido Jiménez () and Vicente Novo ()
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Giorgio Giorgi: University of Pavia
Bienvenido Jiménez: E.T.S.I. Industriales, Universidad Nacional de Educación a Distancia (UNED)
Vicente Novo: E.T.S.I. Industriales, Universidad Nacional de Educación a Distancia (UNED)

Decisions in Economics and Finance, 2023, vol. 46, issue 2, No 1, 355-377

Abstract: Abstract An overview is given on the use of Dini and Hadamard directional derivatives in various types of multiobjective optimization problems. Necessary optimality conditions are considered for a problem with an abstract constraint, for a problem with inequality and equality constraints and for a problem with both inequality and equality constraints and an abstract constraint. The issue of constraint qualifications is examined, and several first-order sufficient optimality conditions are presented for the third type of multiobjective optimization problems.

Keywords: Multiobjective optimization problems; Dini derivatives; Hadamard derivatives; Optimality conditions; Constraint qualifications (search for similar items in EconPapers)
JEL-codes: C61 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10203-023-00403-3

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