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Second order multiobjective mixed symmetric duality containing square root term with generalized invex function

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Abstract

In this paper we presented a pair of second order mixed symmetric dual for a class of nondifferentiable multiobjective programming involving square root term like (xTAx)1/2. We established weak duality, strong duality and converse duality theorems with their proofs under second order (Φ, ρ)-invexity and (Φ, ρ)-pseudo invexity assumption. Discussion on some particular cases shows that our results generalize earlier results in related domain.

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Authors and Affiliations

  1. Department of Mathematics, Trident Academy of Technology, F2/A, Chandaka Industrial Estate, In front of Infocity, Patia, Bhubaneswar, 751024, Odisha, India

    A. K. Tripathy

  2. Department of Computer Science, Ajayabinayak Institute of Technology, Cuttack, Odisha, India

    G. Devi

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  1. A. K. Tripathy
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  2. G. Devi
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Tripathy, A.K., Devi, G. Second order multiobjective mixed symmetric duality containing square root term with generalized invex function. OPSEARCH 50, 260–281 (2013). https://doi.org/10.1007/s12597-012-0103-4

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