Second-order Univex Functions and Generalized Duality Models for Multiobjective Programming Problems Containing Arbitrary Norms
نویسندگان
چکیده
Abstract. In this paper, we introduce three new broad classes of secondorder generalized convex functions, namely, (F , b, φ, ρ, θ)-sounivex functions, (F , b, φ, ρ, θ)-pseudosounivex functions, and (F , b, φ, ρ, θ)-quasisounivex functions; formulate eight general second-order duality models; and prove appropriate duality theorems under various generalized (F , b, φ, ρ, θ)-sounivexity assumptions for a multiobjective programming problem containing arbitrary norms.
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