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

Anurag Jayswal (), Vivek Singh () and Krishna Kummari ()
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Anurag Jayswal: Indian Institute of Technology (Indian School of Mines)
Vivek Singh: Indian Institute of Technology (Indian School of Mines)
Krishna Kummari: Indian Institute of Technology (Indian School of Mines)

OPSEARCH, 2017, vol. 54, issue 3, No 8, 598-617

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

Keywords: Minimax fractional programming problem; Nondifferentiable programming; Higher-order duality; Higher-order ( $$C; \alpha; \rho; d$$ C; α; ρ; d )-convexity; 90C46; 90C29; 49J52 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s12597-016-0295-0

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