International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 7, Pages 1109-1133
doi:10.1155/IJMMS.2005.1109
Generalized (ℱ,b,ϕ,ρ,θ)-univex n-set
functions and semiparametric duality models in multiobjective fractional subset programming
Department of Mathematics and Computer Science, Northern Michigan University, Marquette 49855, MI, USA
Received 28 December 2003; Revised 3 October 2004
Copyright © 2005 G. J. Zalmai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We construct a number of semiparametric duality models and
establish appropriate duality results under various generalized
(ℱ,b,ϕ,ρ,θ)-univexity assumptions for a multiobjective fractional subset programming problem.