On stationarity for nonsmooth multiobjective problems with vanishing constraints

Ali Sadeghieh (), Nader Kanzi (), Giuseppe Caristi () and David Barilla ()
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Ali Sadeghieh: Islamic Azad University
Nader Kanzi: Payame Noor University
Giuseppe Caristi: University of Messina
David Barilla: University of Messina

Journal of Global Optimization, 2022, vol. 82, issue 4, No 10, 929-949

Abstract: Abstract The aim of this paper is to develop first-order necessary and sufficient optimality conditions for nonsmooth multiobjective optimization problems with vanishing constraints. First of all, we introduce some data qualifications for the problem, and derive the comparisons between them. Secondly, based on the mentioned qualifications, we demonstrate some necessary optimality conditions, named strongly stationary conditions, at weakly efficient and efficient solutions of considered problem. Then, we show that the strongly stationary conditions are also sufficient for optimality. Finally, using the tightened problems, we establish other classes of qualifications and stationary conditions.

Keywords: Multiobjective optimization; Vanishing constraints; Stationary condition; Qualification condition; Tightened problem; 90C46; 90C33; 49K10 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-021-01030-1

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