• SADDLE POINTS CRITERIA VIA A S...

Treffer: SADDLE POINTS CRITERIA VIA A SECOND ORDER η-APPROXIMATION APPROACH FOR NONLINEAR MATHEMATICAL PROGRAMMING INVOLVING SECOND ORDER INVEX FUNCTIONS

Title:
SADDLE POINTS CRITERIA VIA A SECOND ORDER η-APPROXIMATION APPROACH FOR NONLINEAR MATHEMATICAL PROGRAMMING INVOLVING SECOND ORDER INVEX FUNCTIONS
Authors:
ANTCZAK, Tadeusz
Source:
Kybernetika. 47(2):222-240
Publisher Information:
Praha: Institute of Information Theory and Automation of the Academy of Sciences of the Czech Republic, 2011.
Publication Year:
2011
Physical Description:
print, 13 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Recherche operationnelle. Gestion, Operational research. Management science, Recherche opérationnelle et modèles formalisés de gestion, Operational research and scientific management, Programmation mathématique, Mathematical programming, Invexité, Invexity, Invexidad, Lagrangien, Lagrangian, Lagrangiano, Multiplicateur Lagrange, Lagrange multiplier, Multiplicador Lagrange, Méthode approximation, Approximation method, Méthode col, Saddle point method, Método punto en puerto, Point col, Saddle point, Punto silla, Programmation mathématique, Mathematical programming, Programación matemática, Programmation non convexe, Non convex programming, Programación no convexa, Programmation non linéaire, Non linear programming, Programación no lineal, Résolubilité, Solvability, Resolubilidad, Solution optimale, Optimal solution, Solución óptima, 90C26, 90C46, second order invex function with respect to η, second order optimality conditions, second order η-Lagrange function, second order η-approximated optimization problem, second order η-saddle point
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland
ISSN:
0023-5954
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=24321704
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Operational research. Management
Accession Number:
edscal.24321704
Database:
PASCAL Archive

Weitere Informationen

In this paper, by using the second order η-approximation method introduced by Antczak [3], new saddle point results are obtained for a nonlinear mathematical programming problem involving second order invex functions with respect to the same function η. Moreover, a second order η-saddle point and a second order η-Lagrange function are defined for the so-called second order η-approximated optimization problem constructed in this method. Then, the equivalence between an optimal solution in the original mathematical programming problem and a second order η-saddle point of the second order η-Lagrangian in the associated second order η-approximated optimization problem is established. Finally, some example of using this approach to characterize of solvability of some O.R. problem is given.