Treffer: Optimality conditions and duality for nondifferentiable multiobjective programming problems involving d-r-type I functions
Title:
Optimality conditions and duality for nondifferentiable multiobjective programming problems involving d-r-type I functions
Authors:
Source:
Journal of computational and applied mathematics. 225(1):236-250
Publisher Information:
Kidlington: Elsevier, 2009.
Publication Year:
2009
Physical Description:
print, 21 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Analyse numérique, Numerical analysis, Análisis numérico, Condition optimalité, Optimality condition, Condición optimalidad, Condition suffisante, Sufficient condition, Condición suficiente, Dualité, Duality, Dualidad, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, Solution faible, Weak solution, Solución débil, Solution optimale, Optimal solution, Solución óptima, 49J30, 49K30, (weak) Pareto optimal solution, 90C26, 90C29, 90C46, Nondifferentiable multiobjective programming, Optimality conditions, d-r-type I objective and constraint functions
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Faculty of Mathematics and Computer Science, University of Lódz, Banacha 22, 90-238 Lódz, Poland
ISSN:
0377-0427
Rights:
Copyright 2009 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
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:
Mathematics
Accession Number:
edscal.21181640
Database:
PASCAL Archive
Weitere Informationen
In this paper, new classes of nondifferentiable functions constituting multiobjective programming problems are introduced. Namely, the classes of d-r-type I objective and constraint functions and, moreover, the various classes of generalized d-r-type I objective and constraint functions are defined for directionally differentiable multiobjective programming problems. Sufficient optimality conditions and various Mond-Weir duality results are proved for nondifferentiable multiobjective programming problems involving functions of such type. Finally, it is showed that the introduced d-r-type I notion with r ≠ 0 is not a sufficient condition for Wolfe weak duality to hold. These results are illustrated in the paper by suitable examples.