International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 8, Pages 1253-1276
doi:10.1155/IJMMS.2005.1253

Generalized (𝔉,b,ϕ,ρ,θ)-univex n-set functions and global parametric sufficient optimality conditions in minmax fractional subset programming

G.J. Zalmai

Department of Mathematics and Computer Science, Northern Michigan University, Marquette 49855, MI, USA

Abstract

We first define a new class of generalized convex n-set functions, called (𝔉,b,ϕ,ρ,θ)-univex functions, and then establish a fairly large number of global parametric sufficient optimality conditions under a variety of generalized (𝔉,b,ϕ,ρ,θ)-univexity assumptions for a discrete minmax fractional subset programming problem.