First Order Characterizations of Pseudoconvex Functions

Ivanov, Vsevolod. "First Order Characterizations of Pseudoconvex Functions." Serdica Mathematical Journal 27.3 (2001): 203-218. <http://eudml.org/doc/11534>.

@article{Ivanov2001,
abstract = {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.},
author = {Ivanov, Vsevolod},
journal = {Serdica Mathematical Journal},
keywords = {Generalized Convexity; Nonsmooth Function; Generalized Directional Derivative; Pseudoconvex Function; Quasiconvex Function; Invex Function; Nonsmooth Optimization; Solution Sets; Pseudomonotone Generalized Directional Derivative; generalized convexity; pseudoconvex function; quasiconvex function; directional derivative},
language = {eng},
number = {3},
pages = {203-218},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {First Order Characterizations of Pseudoconvex Functions},
url = {http://eudml.org/doc/11534},
volume = {27},
year = {2001},
}

TY - JOUR
AU - Ivanov, Vsevolod
TI - First Order Characterizations of Pseudoconvex Functions
JO - Serdica Mathematical Journal
PY - 2001
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 27
IS - 3
SP - 203
EP - 218
AB - 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.
LA - eng
KW - Generalized Convexity; Nonsmooth Function; Generalized Directional Derivative; Pseudoconvex Function; Quasiconvex Function; Invex Function; Nonsmooth Optimization; Solution Sets; Pseudomonotone Generalized Directional Derivative; generalized convexity; pseudoconvex function; quasiconvex function; directional derivative
UR - http://eudml.org/doc/11534
ER -