Treffer: Nondifferentiable multiobjective programming under generalized dI-invexity
Title:
Nondifferentiable multiobjective programming under generalized dI-invexity
Authors:
Source:
European journal of operational research. 202(1):32-41
Publisher Information:
Amsterdam: Elsevier, 2010.
Publication Year:
2010
Physical Description:
print, 1/2 p
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, 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 nécessaire suffisante, Necessary and sufficient condition, Condición necesaria suficiente, Contrainte inégalité, Inequality constraint, Constreñimiento desigualdad, Fonction objectif, Objective function, Función objetivo, Invexité, Invexity, Invexidad, Méthode Karush Kuhn Tucker, Karush Kuhn Tucker method, Método Karush Kuhn Tucker, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, Programmation non différentiable, Non differentiable programming, Programación no diferenciable, Programmation non linéaire, Non linear programming, Programación no lineal, (Weakly or properly) efficient point, Duality, Generalized dI-invexity, Optimality, Semi-directionally differentiable functions
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Laboratory of Modeling and Optimization of Systems (LAMOS), Operational Research Department, University of Bejaia, 06000 Bejaia, Algeria
ISSN:
0377-2217
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
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.22505586
Database:
PASCAL Archive
Weitere Informationen
In this paper, we are concerned with a nondifferentiable multiobjective programming problem with inequality constraints. We introduce new concepts of d1-invexity and generalized dI-invexity in which each component of the objective and constraint functions is directionally differentiable in its own direction d;. New Fritz-John type necessary and Karush―Kuhn―Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be weakly efficient, efficient or properly efficient. Moreover, we prove weak, strong, converse and strict duality results for a Mond-Weir type dual under various types of generalized dI-invexity assumptions.