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Duality for nondifferentiable minimax fractional programming problem involving higher order \((\varvec{C},\varvec{\alpha}, \varvec{\rho}, \varvec{d})\)-convexity

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Abstract

In this paper, we present new class of higher-order \((C, \alpha , \rho , d)\)-convexity and formulate two types of higher-order duality for a nondifferentiable minimax fractional programming problem. Based on the higher-order \((C, \alpha , \rho , d)\)-convexity, we establish appropriate higher-order duality results. These results extend several known results to a wider class of programs.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826004, India

    Anurag Jayswal, Vivek Singh & Krishna Kummari

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  1. Anurag Jayswal
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  2. Vivek Singh
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  3. Krishna Kummari
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Correspondence to Vivek Singh.

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Jayswal, A., Singh, V. & Kummari, K. Duality for nondifferentiable minimax fractional programming problem involving higher order \((\varvec{C},\varvec{\alpha}, \varvec{\rho}, \varvec{d})\)-convexity. OPSEARCH 54, 598–617 (2017). https://doi.org/10.1007/s12597-016-0295-0

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