Optimality conditions and duality for E-differentiable fractional multiobjective interval valued optimization problems with E-invexity

. In this paper, a class of fractional multiobjective interval valued optimization problems with E - invexity is considered. First, the definition of the E -invex fractional interval value function is given under the interval order relation, and the existence of these fractional interval-valued functions is verified by examples. Second, we present the E - KKT necessary optimality conditions and the sufficient optimality conditions for a fractional interval-valued optimization problem (FIVP E ) under E -invexity. Last, the Mond-Weir E -dual problem (DFIVP E ) of (FIVP E ) is established, and several E -duality theorems are obtained under E -invexity. To some extent, this paper generalizes the existing relevant results obtained recently.