First Order Characterizations of Pseudoconvex Functions
| Data(s) |
16/11/2009
16/11/2009
2001
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|---|---|
| Resumo |
First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed. Well-known first order characterizations of the solution sets of pseudolinear programs are generalized to the case of pseudoconvex programs. The concepts of pseudoconvexity and invexity do not depend on a single definition of the generalized directional derivative. |
| Identificador |
Serdica Mathematical Journal, Vol. 27, No 3, (2001), 203p-218p 1310-6600 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Generalized Convexity #Nonsmooth Function #Generalized Directional Derivative #Pseudoconvex Function #Quasiconvex Function #Invex Function #Nonsmooth Optimization #Solution Sets #Pseudomonotone Generalized Directional Derivative |
| Tipo |
Article |
