A note on strong pseudoconvexity

• Autorzy: Vsevolod Ivanov
• Języki publikacji: EN

Abstrakty

EN

A strongly pseudoconvex function is generalized to non-smooth settings. A complete characterization of the strongly pseudoconvex radially lower semicontinuous functions is obtained.

Słowa kluczowe

EN

Generalized convexity; strict pseudoconvexity; nonsmooth analysis; nonsmooth optimization; Dini directional derivatives

Kategorie tematyczne

• 26B25: Convexity, generalizations
• 90C26: Nonconvex programming, global optimization

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 4
• Strony: 576-580

Daty

wydano

2008-12-01

online

2008-10-08

Twórcy

autor

Vsevolod Ivanov

• Technical University of Varna

Bibliografia

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• [3] Hadjisavvas N., Schaible S., On strong pseudomonotonicity and (semi)strict quasimonotonicity, J. Optim. Theory Appl., 1993, 79, 139–155 http://dx.doi.org/10.1007/BF00941891
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• [8] Komlósi S., Generalized monotonicity in nonsmooth analysis, In: Komlósi S., Rapcsák T., Schaible S. (Eds.), Generalized convexity, Springer Verlag, Heidelberg, 1994, 263–275
• [9] Mishra M.S., Nanda S., Acharya D., Strong pseudo-convexity and symmetric duality in nonlinear programming, J. Aust. Math. Soc. Ser. B, 1985, 27, 238–244 http://dx.doi.org/10.1017/S0334270000004884
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• [11] Weir T., On strong pseudoconvexity in nonlinear programming duality, Opsearch, 1990, 27, 117–121
• [12] Yang Y., On strong pseudoconvexity and strong pseudomonotonicity, Numer. Math. J. Chinese Univ., 2000, 22, 141–146

Identyfikatory

DOI

10.2478/s11533-008-0041-9