Title: Duality results for a second-order multiobjective fractional programming problem with generalised convexity
Authors: Arvind Kumar; Pankaj Kumar Garg
Addresses: Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, India ' Department of Mathematics, Rajdhani College, University of Delhi, Delhi 110015, India
Abstract: The purpose of this paper is to study a class of non-differentiable multiobjective fractional programming problem in which every component of objective functions contains a term involving the support function of a compact convex set. For a differentiable function, we use the definition of second-order (C, α, ρ, d) - V-type-I convex function. Further, a Mond-Weir type dual has been formulated for this problem and appropriate duality results have been proved under second-order (C, α, ρ, d) - V-type-I convexity assumptions.
Keywords: duality; non-differentiable; multiobjective fractional programming; generalised convexity.
International Journal of Mathematics in Operational Research, 2017 Vol.11 No.4, pp.435 - 449
Received: 08 Oct 2015
Accepted: 04 Mar 2016
Published online: 27 Oct 2017 *