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

Recently, Hachimi and Aghezzaf defined generalized ( F , α , ρ , d ) -type I functions, a new class of functions that unifies several concepts of generalized type I functions. In this paper, the generalized ( F , α , ρ , d ) -type I functions are extended to nondifferentiable functions. By utilizing...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 319; no. 1; pp. 110 - 123
Main Authors: Hachimi, Mohamed, Aghezzaf, Brahim
Format: Journal Article
Language:English
Published: San Diego, CA Elsevier Inc 01.07.2006
Elsevier
Subjects:
Calculus of variations and optimal control
Duality
Efficient solution
Exact sciences and technology
Functional analysis
Generalized convexity
Mathematical analysis
Mathematics
Nondifferentiable multiobjective programming problem
Sciences and techniques of general use
Sufficiency
Type I functions
Type I functions
Duality
Sufficiency
Efficient solution
Generalized convexity
Nondifferentiable multiobjective programming problem
Generalized function
Multiobjective programming
Sufficient condition
Non differentiable programming
Type I function
Mathematical analysis
Optimality condition
Convexity
ISSN:0022-247X, 1096-0813
Online Access:Get full text
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Summary:Recently, Hachimi and Aghezzaf defined generalized ( F , α , ρ , d ) -type I functions, a new class of functions that unifies several concepts of generalized type I functions. In this paper, the generalized ( F , α , ρ , 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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2005.02.064