Treffer: Sufficiency and Duality in Multiobjective Programming under Generalized Type I Functions
Title:
Sufficiency and Duality in Multiobjective Programming under Generalized Type I Functions
Authors:
Source:
Journal of optimization theory and applications. 135(3):411-427
Publisher Information:
New York, NY: Springer, 2007.
Publication Year:
2007
Physical Description:
print, 19 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, 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, Condition optimalité, Optimality condition, Condición optimalidad, Critère optimalité, Optimality criterion, Criterio optimalidad, Dualité, Duality, Dualidad, Exhaustivité, Sufficiency, Exhaustividad, Fonction convexe, Convex function, Función convexa, Fonction généralisée, Generalized function, Función generalizada, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, Multiobjective programming, Generalized type I functions, Weak Efficiency
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Indian Institute of Technology, Roorkee 247 667, India
Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
ISSN:
0022-3239
Rights:
Copyright 2008 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:
Operational research. Management
Accession Number:
edscal.19903721
Database:
PASCAL Archive
Weitere Informationen
In this paper, new classes of generalized (F, α, ρ, d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.