Necessary Optimality Conditions for Problems with Equality and Inequality Constraints: Abnormal Case

A. V. Arutyunov (), D. Y. Karamzin () and F. L. Pereira ()
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A. V. Arutyunov: Peoples Friendship Russian University
D. Y. Karamzin: Russian Academy of Sciences
F. L. Pereira: University of Porto, Institute for Systems & Robotics

Journal of Optimization Theory and Applications, 2009, vol. 140, issue 3, No 1, 408 pages

Abstract: Abstract This article concerns second-order necessary conditions for an abnormal local minimizer of a nonlinear optimization problem with equality and inequality constraints. The obtained optimality conditions improve the ones available in the literature in that the associated set of Lagrange multipliers is the smallest possible.

Keywords: Mathematical programming; Second-order necessary optimality conditions; Abnormal points (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10957-008-9456-5

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