# First Order Characterizations of Pseudoconvex Functions

Serdica Mathematical Journal (2001)

- Volume: 27, Issue: 3, page 203-218
- ISSN: 1310-6600

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topIvanov, 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 -

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