Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems

Tijani Amahroq () and Abdessamad Oussarhan
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Tijani Amahroq: Cadi Ayyad University, Faculty of Sciences and Techniques, B.P. 549, Marrakech, Morocco
Abdessamad Oussarhan: Cadi Ayyad University, Faculty of Sciences and Techniques, B.P. 549, Marrakech, Morocco

Asia-Pacific Journal of Operational Research (APJOR), 2019, vol. 36, issue 04, 1-22

Abstract: Optimality conditions are established in terms of Lagrange–Fritz–John multipliers as well as Lagrange–Kuhn–Tucker multipliers for set optimization problems (without any convexity assumption) by using new scalarization techniques. Additionally, we indicate how these results may be applied to some particular weak vector equilibrium problems.

Keywords: Set-valued optimization; set optimization; nonconvex scalarization; penalization; Gerstewitz’s function; metric regularity; Lagrange–Fritz–John multipliers; Lagrange–Kuhn–Tucker multipliers; optimality conditions; vector equilibrium problem (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0217595919500210

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