On a Sufficient Condition for Weak Sharp Efficiency in Multiobjective Optimization

Monica Bianchi (), Gábor Kassay () and Rita Pini ()
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Monica Bianchi: Università Cattolica del Sacro Cuore
Gábor Kassay: Babes-Bolyai University
Rita Pini: Università degli Studi di Milano-Bicocca

Journal of Optimization Theory and Applications, 2018, vol. 178, issue 1, No 5, 78-93

Abstract: Abstract In this paper, we provide sufficient conditions entailing the existence of weak sharp efficient points of a multiobjective optimization problem. The approach uses variational analysis techniques, like regularity and subregularity of the diagonal subdifferential map related to a suitable scalar equilibrium problem naturally associated to the multiobjective optimization problem.

Keywords: Weak sharp efficient point; Multiobjective optimization problem; Metric regularity; Metric subregularity; Equilibrium problem; Diagonal subdifferential operator; 49J53; 49K40; 90C31 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1307-4

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