Characterizations of the Solution Sets of Generalized Convex Minimization Problems

Ivanov, Vsevolod

Serdica Mathematical Journal (2003)

  • Volume: 29, Issue: 1, page 1-10
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 90C26, 90C20, 49J52, 47H05, 47J20.In this paper we obtain some simple characterizations of the solution sets of a pseudoconvex program and a variational inequality. Similar characterizations of the solution set of a quasiconvex quadratic program are derived. Applications of these characterizations are given.

How to cite

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Ivanov, Vsevolod. "Characterizations of the Solution Sets of Generalized Convex Minimization Problems." Serdica Mathematical Journal 29.1 (2003): 1-10. <http://eudml.org/doc/219667>.

@article{Ivanov2003,
abstract = {2000 Mathematics Subject Classification: 90C26, 90C20, 49J52, 47H05, 47J20.In this paper we obtain some simple characterizations of the solution sets of a pseudoconvex program and a variational inequality. Similar characterizations of the solution set of a quasiconvex quadratic program are derived. Applications of these characterizations are given.},
author = {Ivanov, Vsevolod},
journal = {Serdica Mathematical Journal},
keywords = {Generalized Convexity; Pseudoconvex Function; Quasiconvex Quadratic Function; Solution Set; Variational Inequality; generalized convexity; pseudoconvex function; quasiconvex quadtaric function; solution set; variational inequality},
language = {eng},
number = {1},
pages = {1-10},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Characterizations of the Solution Sets of Generalized Convex Minimization Problems},
url = {http://eudml.org/doc/219667},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Ivanov, Vsevolod
TI - Characterizations of the Solution Sets of Generalized Convex Minimization Problems
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 1
SP - 1
EP - 10
AB - 2000 Mathematics Subject Classification: 90C26, 90C20, 49J52, 47H05, 47J20.In this paper we obtain some simple characterizations of the solution sets of a pseudoconvex program and a variational inequality. Similar characterizations of the solution set of a quasiconvex quadratic program are derived. Applications of these characterizations are given.
LA - eng
KW - Generalized Convexity; Pseudoconvex Function; Quasiconvex Quadratic Function; Solution Set; Variational Inequality; generalized convexity; pseudoconvex function; quasiconvex quadtaric function; solution set; variational inequality
UR - http://eudml.org/doc/219667
ER -

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