Second-Order Optimality Conditions for Vector Problems with Continuously Fréchet Differentiable Data and Second-Order Constraint Qualifications

Vsevolod I. Ivanov ()
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Vsevolod I. Ivanov: Technical University of Varna

Journal of Optimization Theory and Applications, 2015, vol. 166, issue 3, No 4, 777-790

Abstract: Abstract In the present paper, we consider the inequality constrained vector problem with continuously Fréchet differentiable objective functions and constraints. We obtain second-order necessary optimality conditions of Karush–Kuhn–Tucker type for weak efficiency. A new second-order constraint qualification of Zangwill type is introduced. It is applied in the optimality conditions. Some connections with other constraint qualifications are established.

Keywords: Vector optimization; Second-order KKT optimality conditions; Second-order constraint qualifications; Nonsmooth optimization; C1 problems with inequality constraints; 90C46; 90C29 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-015-0718-8

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