Results 271 to 280 of about 195,148 (324)

Second-Order Optimality Conditions in Set Optimization

Journal of Optimization Theory and Applications, 2005
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Jahn, J., Khan, A. A., Zeilinger, P.
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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 ...
Bonnans, J. Frédéric, Cominetti, Roberto, Shapiro, Alexander   +2 more
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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 Optimality Conditions in Multiobjective Optimization Problems

Journal of Optimization Theory and Applications, 1999
The authors develop second-order necessary and sufficient optimality conditions for multiobjective optimization problems with both equality and inequality constraints. First, the authors generalize the Lin fundamental theorem to second-order tangent sets; then, based on the above generalized theorem, the authors derive second-order necessary and ...
Aghezzaf, B., Hachimi, M.
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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 ...
Maciel, María C., Santos, Sandra A., Sottosanto, Graciela N.   +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
Dhara, Anulekha, Mehra, Aparna
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Second Order Optimality Conditions

2004
In this chapter we obtain second order necessary optimality conditions for control problems. As we know, geometrically the study of optimality reduces to the study of boundary of attainable sets (see Sect. 10.2). Consider a control system $$\dot q = {f_u}(q),q \in M,u \in U = \operatorname{int} U \subset {R^m},$$ (20.1) where the state space ...
Andrei A. Agrachev, Yuri L. Sachkov
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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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Second-order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems

SSRN Electronic Journal, 2002
In this paper second-order necessary optimality conditions for nonsmooth vector optimization problems are given by smooth approximations. We extend to the vector case the approach introduced by Ermoliev, Norkin and Wets to define generalized derivatives for discontinuous functions as limit of the classical derivatives of regular functions.
G. P. Crespi, D. La Torre, M. Rocca
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