Optimality conditions for multiple objective fractional subset programming with (Gamma, rho, sigma, theta)-V-type-I and related non-convex functions
In this paper, we introduce a new class of generalized convex n-set functions, called (Gamma, rho, sigma, theta)V-Type-I and related non-convex functions, and then establish a number of parametric and semi-parametric sufficient optimality conditions for the primal problem under the aforesaid assumptions. This work partially extends an earlier work of [G.J. Zalmai, Efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized (Gamma, alpha, rho, theta)-V-convex functions, Comput. Math. Appl. 43 ( 2002) 1489 - 1520] to a wider class of functions. (C) 2008 Elsevier Ltd. All rights reserved.
optimality conditions multiple objective fractional subset programming generalized n-set convex functions