Characterization of the weakly efficient solutions in nonsmooth quasiconvex multiobjective optimization

Nader Kanzi and Majid Soleimani-damaneh ()
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Nader Kanzi: Payame Noor University (PNU)
Majid Soleimani-damaneh: University of Tehran

Journal of Global Optimization, 2020, vol. 77, issue 3, No 8, 627-641

Abstract: Abstract In this paper, we establish necessary and sufficient conditions to characterize weakly efficient solutions in nonsmooth quasiconvex multiobjective programming. The results are proved in terms of the Greenberg–Pierskalla, Penot, Plastria, Gutiérrez and Suzuki–Kuroiwa subdifferentials. The established results can be used to provide powerful tools for sketching numerical algorithms and deriving duality results.

Keywords: Quasiconvex function; Multiobjective programming; Nonsnmooth optimization; Constraint qualification; Optimality conditions; 90C26; 90C29; 49J52 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10898-020-00893-0

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