Results 201 to 210 of about 11,355 (263)

Second-Order Optimality Conditions in Set Optimization

Journal of Optimization Theory and Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J Jahn, Jahn J
exaly   +3 more sources

On Second-Order Optimality Conditions for Vector Optimization

Journal of Optimization Theory and Applications, 2011
A vector optimization problem (VOP) is considered. The feasible set is stated by means of equality and inequality constraints. Two constraint qualifications has been borrowed from the scalar case and used for VOP. The first one (Kuhn-Tucker constraint qualification KTCQ) is based on a feasible arc and implies that the set of feasible and descent ...
María Cristina Maciel, Sandra A. Santos 0001, Graciela N. Sottosanto   +2 more
openaire   +2 more sources

On second-order optimality conditions in nonlinear optimization

Optimization Methods and Software, 2016
In this work we present new weak conditions that ensure the validity of necessary second-order optimality conditions SOC for nonlinear optimization. We are able to prove that weak and strong SOCs hold for all Lagrange multipliers using Abadie-type assumptions.
Roberto Andreani, Roger Behling, Gabriel Haeser, Paulo J. S. Silva   +3 more
openaire   +1 more source

Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets

SIAM Journal on Optimization, 1999
Summary: We discuss second order optimality conditions in optimization problems subject to abstract constraints. Our analysis is based on various concepts of second order tangent sets and parametric duality. We introduce a condition, called second order regularity, under which there is no gap between the corresponding second order necessary and second ...
J Frédéric Bonnans, Roberto Cominetti, Alexander Shapiro   +2 more
exaly   +3 more sources

On second-order conditions in unconstrained optimization

Mathematical Programming, 2007
The main aim of this paper is to generalize early obtained sufficient second-order optimality conditions which were introduced in terms of the Peano type and the Dini type of directional derivatives for the class of \(C^{1,1}\) functions or for the class of stable functions.
Dusan Bednarík, Karel Pastor
openaire   +1 more source