On sufficiency and duality for nonsmooth multiobjective programming problems involving generalized V – r -invex functions

In this paper, a class of nonsmooth multiobjective programming problems with inequality constraints is considered. We introduce the concepts of V – r -pseudo-invex, strictly V – r -pseudo-invex and V – r -quasi-invex functions, in which the involved functions are locally Lipschitz. Based upon these...

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Veröffentlicht in:Nonlinear analysis Jg. 74; H. 17; S. 5920 - 5928
Hauptverfasser: Ahmad, I., Gupta, S.K., Jayswal, Anurag
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier Ltd 01.12.2011
Elsevier
Schlagworte:
Duality
Duality theorem
Exact sciences and technology
Functional analysis
Functions of a complex variable
Generalized [formula omitted]-invex functions
Inequalities
Locally Lipschitz functions
Mathematical analysis
Mathematics
Multiobjective programming
Nonlinearity
Optimization
Programming
Sciences and techniques of general use
Sufficient optimality conditions
Locally Lipschitz functions
Sufficient optimality conditions
Duality
Generalized V – r -invex functions
Multiobjective programming
Sufficient condition
Generalized V-r-invex functions
Nonlinear analysis
Optimality condition
Lipschitz function
Mathematical model
ISSN:0362-546X, 1873-5215
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Beschreibung
Zusammenfassung:In this paper, a class of nonsmooth multiobjective programming problems with inequality constraints is considered. We introduce the concepts of V – r -pseudo-invex, strictly V – r -pseudo-invex and V – r -quasi-invex functions, in which the involved functions are locally Lipschitz. Based upon these generalized V – r -invex functions, sufficient optimality conditions for a feasible point to be an efficient or a weakly efficient solution are derived. Appropriate duality theorems are proved for a Mond–Weir-type dual program of a nonsmooth multiobjective programming under the aforesaid functions.
Bibliographie:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.05.058