Geodesic
First Order Characterizations of Pseudoconvex Functions
Serdica Mathematical Journal, Tome 27 (2001) no. 3, pp. 203-218

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: Generalized Convexity, Nonsmooth Function, Generalized Directional Derivative, Pseudoconvex Function, Quasiconvex Function, Invex Function, Nonsmooth Optimization, Solution Sets, Pseudomonotone Generalized Directional Derivative 
Ivanov, Vsevolod. First Order Characterizations of Pseudoconvex Functions. Serdica Mathematical Journal, Tome 27 (2001) no. 3, pp. 203-218. http://geodesic.mathdoc.fr/item/SMJ2_2001_27_3_a1/
@article{SMJ2_2001_27_3_a1,
     author = {Ivanov, Vsevolod},
     title = {First {Order} {Characterizations} of {Pseudoconvex} {Functions}},
     journal = {Serdica Mathematical Journal},
     pages = {203--218},
     year = {2001},
     volume = {27},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2001_27_3_a1/}
}
TY  - JOUR
AU  - Ivanov, Vsevolod
TI  - First Order Characterizations of Pseudoconvex Functions
JO  - Serdica Mathematical Journal
PY  - 2001
SP  - 203
EP  - 218
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2001_27_3_a1/
LA  - en
ID  - SMJ2_2001_27_3_a1
ER  - 
%0 Journal Article
%A Ivanov, Vsevolod
%T First Order Characterizations of Pseudoconvex Functions
%J Serdica Mathematical Journal
%D 2001
%P 203-218
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/SMJ2_2001_27_3_a1/
%G en
%F SMJ2_2001_27_3_a1