Recent Advances on Second-Order Optimality Conditions
作者： Jean-Paul Penot
DOI: 10.1007/978-3-642-57014-8_25
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摘要: We compare some recent proposals dealing with necessary conditions and sufficient for optimization problems explicit or implicit constraints. add a new condition which involves an additional term bears on the constraint only, this reason is simpler than known conditions. also introduce two types of second-order generalized derivatives examine their uses such question.
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Alberto Cambini, Sándor Komlósi, Laura Martein, Recent Developments in Second Order Necessary Optimality Conditions Springer, Boston, MA. pp. 347- 356 ,(1998) , 10.1007/978-1-4613-3341-8_16
Bernhard Gollan, Higher order necessary conditions for an abstract optimization problem Mathematical Programming Studies. pp. 69- 76 ,(1981) , 10.1007/BFB0120922
A. Cambini, L. Martein, R. Cambini, A New Approach to Second Order Optimality Conditions in Vector Optimization Lecture Notes in Economics and Mathematical Systems. ,vol. 455, pp. 219- 227 ,(1997) , 10.1007/978-3-642-46854-4_24
Contesse B. Luis, Une caractérisation complète des minima locaux en programmation quadratique Numerische Mathematik. ,vol. 34, pp. 315- 332 ,(1980) , 10.1007/BF01396705
Alberto Seeger, Analyse du second ordre de problèmes non différentiables Toulouse 3. ,(1986)
Makhon ṭekhnologi le-Yiśraʾel Ṭekhniyon, Aleksandr Davidovich Ioffe, M. Marcus, Simeon Reich, Optimization and Nonlinear Analysis ,(1992)
Jean Paul Penot, Second-Order Generalized Derivatives: Comparisons of Two Types of Epi-Derivatives Lecture Notes in Economics and Mathematical Systems. pp. 52- 76 ,(1992) , 10.1007/978-3-642-51682-5_5
Evgeniĭ Semenovich Levitin, Perturbation Theory in Mathematical Programming and Its Applications ,(1994)
Laura Martein, Milan Vlach, Alberto Cambini, Second order tangent sets and optimality conditions The annual research report. ,vol. 97, pp. 1- 13 ,(1997)
Anthony V. Fiacco, Mathematical Programming with Data Perturbations II CRC Press. ,(2020) , 10.1201/9781003071884