2010•Journal of Numerical Analysis and Approximation TheoryOpen access

Optimization problems and second order approximated optimization problems

Eugenia Duca, Dorel I. Duca

Abstract

In this paper, a so-called second order approximated optimization problem associated to an optimization problem is considered. The equivalence between the saddle points of the lagrangian of the second order approximated optimization problem and optimal solutions of the original optimization problem is established.

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Key concepts: Optimization problem, Mathematical optimization, Equivalence (formal languages), Constrained optimization problem, Vector optimization, Mathematics, Continuous optimization, Order (exchange)