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2004•Journal of Yanan UniversityRequires access

Optimality Conditions for Symmetrically Differentiable Multiobjective Programming under Generalized V-Type I Invexity

Qingxiang Zhang

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Abstract

Several nonsmooth generalized V-Type I invexities such as the V-Type I_s,quasi V-Type I_s,and pseudo V-Type I_s vere defined by using Minch's symmetric gradient,some optimality sufficient conditions for a class of multiobjective programming were obtained under these new generalized V-Type I invexity.

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What this paper is about

Several nonsmooth generalized V-Type I invexities such as the V-Type I_s,quasi V-Type I_s,and pseudo V-Type I_s vere defined by using Minch's symmetric gradient,some optimality sufficient conditions for a class of multiobjective programming were obtained under these new generalized V-Type I invexity.

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Available abstract

Several nonsmooth generalized V-Type I invexities such as the V-Type I_s,quasi V-Type I_s,and pseudo V-Type I_s vere defined by using Minch's symmetric gradient,some optimality sufficient conditions for a class of multiobjective programming were obtained under these new generalized V-Type I invexity.

Key concepts: Differentiable function, Type (biology), Mathematics, Class (philosophy), Applied mathematics, Pure mathematics, Mathematical optimization, Computer science

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