Remarks on duality for second order minimax fractional programming with B-(p,r)-invex functions

Indira P. Debnath (), S. K. Gupta () and D. Dangar ()
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Indira P. Debnath: Indian Institute of Technology Roorkee
S. K. Gupta: Indian Institute of Technology Roorkee
D. Dangar: Adamas University

OPSEARCH, 2018, vol. 55, issue 1, No 11, 196-201

Abstract: Abstract In this paper, we have pointed out that the proofs of the Theorems 3.1 and 3.3 in the recent paper (Sonali et al. in Ann Oper Res 244:603–617, 2016) are erroneous. A modified dual to the second order minimax fractional programming problem has been formulated and the rectified proofs of these results under generalized B-(p,r)-invexity have been established.

Keywords: Minimax programming; Fractional programming; Nondifferentiable programming; Second order duality; B-(p; r)-invexity; 90C26; 90C29; 90C30; 90C47; 49N15 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s12597-017-0321-x

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