Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems

Do Van Luu ()
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Do Van Luu: Thang Long University

Journal of Global Optimization, 2018, vol. 70, issue 2, No 8, 437-453

Abstract: Abstract This paper presents primal and dual second-order Fritz John necessary conditions for weak efficiency of nonsmooth vector equilibrium problems involving inequality, equality and set constraints in terms of the Páles–Zeidan second-order directional derivatives. Dual second-order Karush–Kuhn–Tucker necessary conditions for weak efficiency are established under suitable second-order constraint qualifications.

Keywords: Primal and dual second-order necessary efficiency conditions; Páles–Zeidan second-order directional derivatives; First and second-order tangent vectors; Second-order constraint qualifications; 90C46; 90C29 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10898-017-0556-3

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