Abstract
In this paper, a class of nonsmooth multiobjective programming problems is considered. We introduce the new concepts of (Φ, ρ)-V-type I, (pseudo, quasi) (Φ, ρ)-V-type I and (quasi, pseudo) (Φ, ρ)-V-type I functions, in which the involved functions are locally Lipschitz. Based upon these generalized (Φ, ρ)-V-type I functions, the sufficient optimality conditions for weak efficiency, efficiency and proper efficiency are derived. Mond-Weir duality results are also established under the aforesaid functions.
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Yan, C., Feng, B. Sufficiency and Duality for Nonsmooth Multiobjective Programming Problems Involving Generalized (Φ, ρ)-V-Type I Functions. J Math Model Algor 14, 159–172 (2015). https://doi.org/10.1007/s10852-014-9264-x
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DOI: https://doi.org/10.1007/s10852-014-9264-x