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- Title
Sufficiency and Duality in Nonsmooth Multiobjective Programming Problem under Generalized Univex Functions.
- Authors
Kharbanda, Pallavi; Agarwal, Divya; Sinha, Deepa
- Abstract
We consider a nonsmooth multiobjective programming problem where the functions involved are nondifferentiable. The class of univex functions is generalized to a far wider class of (φ,α,ρ,σ)-dI-V-type I univex functions. Then, through various nontrivial examples, we illustrate that the class introduced is new and extends several known classes existing in the literature. Based upon these generalized functions, Karush-Kuhn-Tucker type sufficient optimality conditions are established. Further, we derive weak, strong, converse, and strict converse duality theorems for Mond-Weir type multiobjective dual program.
- Subjects
MULTIPLE criteria decision making; NONSMOOTH optimization; DUALITY theory (Mathematics); MATHEMATICAL functions; NONDIFFERENTIABLE functions; MATHEMATICAL analysis
- Publication
ISRN Otolaryngology, 2014, p1
- ISSN
2090-5742
- Publication type
Article
- DOI
10.1155/2014/904640