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Second-order univex functions and generalized duality models for multiobjective programming problems containing arbitrary norms

G. J. Zalmai
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회지 (Journal of the KMS)|제50권 제4호|pp. 727-753

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참고문헌

키워드

φbmultiobjective programminggeneralized (Fρθ)-sounivex functionsarbitrary normsdual problemsduality theorems.
주제분류수학

초록

In this paper, we introduce three new broad classes of secondordergeneralized convex functions, namely, (F, b, φ, ρ, θ)-sounivex functions,(F, b, φ, ρ, θ)-pseudosounivex functions, and (F, b, φ, ρ, θ)-quasisounivexfunctions; 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 problemcontaining arbitrary norms.

Abstract

In this paper, we introduce three new broad classes of secondordergeneralized convex functions, namely, (F, b, φ, ρ, θ)-sounivex functions,(F, b, φ, ρ, θ)-pseudosounivex functions, and (F, b, φ, ρ, θ)-quasisounivexfunctions; 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 problemcontaining arbitrary norms.

참고문헌 (44)

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