Results 241 to 250 of about 20,565,365 (293)

On Second Order Necessary Conditions of Optimality

SIAM Journal on Control, 1969
Second order necessary conditions of optimality with straightforward application to nonlinear programming of optimal control ...
Messerli, E. J., Polak, E.
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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

On Second-Order Optimality Conditions for Vector Optimization: Addendum

Journal of Optimization Theory and Applications, 2012
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María Cristina Maciel, Sandra A. Santos 0001, Graciela N. Sottosanto   +2 more
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Second-Order Optimality Conditions in Minimax Optimization Problems

Journal of Optimization Theory and Applications, 2012
A finite-dimensional minimax problem \(\min_{x} \sup_{y\in Y} f(x,y)\) s.t. \(g(x)\in D\), \(h(x)=0\) with \(x\in \mathbb R^n\), \(Y\subset \mathbb R^m\) compact, \(D\subset \mathbb R^m\) closed with nonempty interior, \(f(\cdot,y),y\in Y\); \(g\); \(h\) \(C(1,1)\) functions is reformulated and dealt with cone constraint as infinite programming problem
Anulekha Dhara, Aparna Mehra
openaire   +2 more sources

Second order optimality conditions

Journal of Discrete Mathematical Sciences and Cryptography, 2000
Abstract The aim of the paper is to establish some new second order optimality conditions by means of suitable second order tangent sets.
MARTEIN, LAURA, A. CAMBINI
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Second-Order Enhanced Optimality Conditions and Constraint Qualifications

Journal of Optimization Theory and Applications, 2023
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Kuang Bai, Yixia Song, Jin Zhang 0002
openaire   +3 more sources

Second order sufficient optimality conditions in vector optimization

Journal of Global Optimization, 2011
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Ning E., Wen Song, Yu Zhang
openaire   +3 more sources

New Second-Order Optimality Conditions for Directional Optimality of a General Set-Constrained Optimization Problem

SIAM Journal on Optimization
In this paper we derive new second-order optimality conditions for a very general set-constrained optimization problem where the underlying set may be nononvex.
Jane Ye, Wei Ouyang
exaly   +1 more source

Second Order Necessary Conditions in Optimization

SIAM Journal on Control and Optimization, 1984
The author considers an optimization problem which contains restrictions in the form of finitely many equalities and of inclusions involving an arbitrary convex body in a normed vector space, i.e. Q is a convex subset of a real vector space, H is a normed vector space, C is a convex body in H, \((\phi_ 0,\phi_ 1,\phi_ 2):Q\to {\mathbb{R}}\times ...
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On sufficient second order optimality conditions in multiobjective optimization

Mathematical Methods of Operations Research, 2005
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openaire   +4 more sources