Results 251 to 260 of about 20,565,365 (293)

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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Second-Order Global Optimality Conditions for Optimization Problems

Journal of Global Optimization, 2004
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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 Sufficient Conditions in Nonsmooth Optimization

Mathematics of Operations Research, 1988
Second-order conditions are given which are sufficient to guarantee that a given point be a local solution to certain types of finite-dimensional nonsmooth nonlinear programming problems. Both unconstrained and constrained problems are considered.
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Alternative Second-Order Conditions in Constrained Optimization

Journal of Optimization Theory and Applications, 2001
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Weiss, H., Ben-Asher, J. Z.
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Second-Order Optimality Conditions for Constrained Domain Optimization

Journal of Optimization Theory and Applications, 2007
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Mollified Derivatives and Second-Order Optimality Conditions

2004
The class of strongly semicontinuous functions is considered. For these functions the notion of mollified derivatives, introduced by Ermoliev, Norkin and Wets [8], is extended to the second order. By means of a generalized Taylor's formula, second order necessary and sufficient conditions are proved for both unconstrained and constrained optimization ...
LA TORRE D., ROCCA, MATTEO, CRESPI, GIOVANNI PAOLO   +2 more
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Second-Order Optimality Conditions for Multiobjective Optimization Whose Order Induced by Second-Order Cone

Journal of the Operations Research Society of China, 2018
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Zhang, Li-Wei, Zhang, Ji-Hong, Zhang, Yu-Le   +2 more
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Second-Order Conditions for Optimization Problems with Constraints

SIAM Journal on Control and Optimization, 1998
The author obtains necessary or sufficient second-order optimality conditions for constrained optimization problems. The main novelty is to work in a projective space (space of directions), which allows to improve the known results.
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Second-order necessary conditions in semismooth optimization

Mathematical Programming, 1988
This is the second in a series of four closely related papers by the same author. These works introduce a new concept of second-order directional derivative for nonsmooth functions, and demonstrate its applicability to the study of necessary and sufficient conditions for optimality in finite-dimensional mathematical programming.
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