Sufficiency and Duality in Multiobjective Programming Involving Generalized (F, ρ)-Convexity

Journal of Mathematical Analysis and Applications

Volumn 258, Issue 2, 2001, Pages 617-628

  Aghezzaf, Brahim ^a   Hachimi, Mohamed ^a  

^a FACULTÉ DES SCIENCES AIN CHOCK   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035877539     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7396     Document Type: Article

References (11)

1. B. Aghezzaf, On generalized convexity and duality in multiobjective programming problems, preprint, document No. 1, UFR Mathématiques Appliquées et Informatique, Département de Mathématiques et d'Informatique, Faculté des Sciences Aïn Chock, Casablanca, Morocco, January 1999.
2. B. Aghezzaf, and, M. Hachimi, Generalized invexity and duality in multiobjective programming problems, J. Global Optim, in press.
3. Egudo R. Efficiency and generalized convex duality for multiobjective programs. J. Math. Anal. Appl. 138:1989;84-94.
4. Gulati T. R., Islam M. A. Sufficiency and duality in multiobjective programming involving generalized F-convex functions. J. Math. Anal. Appl. 183:1994;181-195.
5. M. Hachimi, Conditions d'Optimalité et Dualité en Programmation Mathématique Multiobjectif, Thèse de Doctorat, Université Hassan II-Aïn Chock, Faculté des Sciences, Casablanca, Morocco, 2000.
6. Hanson M. A., Mond B. Further generalizations of convexity in mathematical programming. J. Inform. Optim. Sci. 3:1986;25-32.
7. Maeda T. Constraint qualification in multiobjective optimization problems: Differentiable case. J. Optim. Theory Appl. 80:1994;483-500.
8. Preda V. On efficiency and duality for multiobjective programs. J. Math. Anal. Appl. 166:1992;365-377.
9. Vial J. P. Strong and weak convexity set and fonctions. Math. Oper. Res. 8:1983;231-259.
10. Weir T., Mond B. Generalized convexity and duality in multiple objective programming. Bull. Austral. Math. Soc. 39:1989;287-299.
11. Xu Z. Mixed type duality in multiobjective programming problems. J. Math. Anal. Appl. 198:1996;621-635.