Result: Sufficiency and duality in nondifferentiable multiobjective programming involving generalized type I functions
Title:
Sufficiency and duality in nondifferentiable multiobjective programming involving generalized type I functions
Authors:
Source:
Journal of mathematical analysis and applications. 319(1):110-123
Publisher Information:
San Diego, CA: Elsevier, 2006.
Publication Year:
2006
Physical Description:
print, 20 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 et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Analyse fonctionnelle, Functional analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse mathématique, Mathematical analysis, Análisis matemático, Condition optimalité, Optimality condition, Condición optimalidad, Condition suffisante, Sufficient condition, Condición suficiente, Convexité, Convexity, Convexidad, Dualité, Duality, Dualidad, Exhaustivité, Sufficiency, Exhaustividad, Fonction généralisée, Generalized function, Función generalizada, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, Programmation non différentiable, Non differentiable programming, Programación no diferenciable, Fonction type I, Type I function, Optimalité, Solution efficace, Efficient solution, Generalized convexity, Nondifferentiable multiobjective programming problem, Type I functions
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Faculté des Sciences Juriduques Economiques et Sociales, Université Ibn Zohr, B.P. 32/S, Agadir, Morocco
Département de Mathématiques et d'Informatique Faculté des Sciences Aïn chock, Université Hassan II, B.P. 5366, Maârif Casablanca, Morocco
Département de Mathématiques et d'Informatique Faculté des Sciences Aïn chock, Université Hassan II, B.P. 5366, Maârif Casablanca, Morocco
ISSN:
0022-247X
Rights:
Copyright 2006 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.17713895
Database:
PASCAL Archive
Further Information
Recently, Hachimi and Aghezzaf defined generalized (F, a, p, d)-type I functions, a new class of functions that unifies several concepts of generalized type I functions. In this paper, the generalized (F, a, p,d)-type I functions are extended to nondifferentiable functions. By utilizing the new concepts, we obtain several sufficient optimality conditions and prove mixed type and Mond-Weir type duality results for the nondifferentiable multiobjective programming problem.