A class of nonsmooth fractional multiobjective optimization problems

摘要

This paper focuses on the study of optimality conditions and duality in nonsmooth fractional multiobjective optimization problems. Applying some advanced tools of variational analysis and generalized differentiation, we establish necessary optimality conditions for (weakly) efficient solutions of a fractional multiobjective optimization problem involving inequality and equality constraints. Sufficient optimality conditions for such solutions to the considered problem are also obtained by means of (strictly) generalized convex-affine functions. In addition, we address a dual problem to the primal one and examine duality relations between them.