Second-order Univex Functions and Generalized Duality Models for Multiobjective Programming Problems Containing Arbitrary Norms

نویسندگان

  • G. J. Zalmai
  • G. J. ZALMAI
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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تاریخ انتشار 2013