Sufficiency and duality in differentiable multiobjective programming involving generalized type I functions

In this paper, new classes of generalized ( F, α, ρ, d)-type I functions are introduced for differentiable multiobjective programming. Based upon these generalized functions, first, we obtain several sufficient optimality conditions for feasible solution to be an efficient or weak efficient solution...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2004-08, Vol.296 (2), p.382-392
Main Authors: Hachimi, Mohamed, Aghezzaf, Brahim
Format: Article
Language:English
Subjects:
Applied sciences
Calculus of variations and optimal control
Efficient solution
Exact sciences and technology
Generalized convexity
Mathematical analysis
Mathematical programming
Mathematics
Mixed duality
Multiobjective programming problem
Operational research and scientific management
Operational research. Management science
Sciences and techniques of general use
Sufficiency
Type I functions
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Summary:In this paper, new classes of generalized ( F, α, ρ, d)-type I functions are introduced for differentiable multiobjective programming. Based upon these generalized functions, first, we obtain several sufficient optimality conditions for feasible solution to be an efficient or weak efficient solution. Second, we prove weak and strong duality theorems for mixed type duality.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2003.12.042