Optimality Conditions of the Approximate Efficiency for Nonsmooth Robust Multiobjective Fractional Semi-Infinite Optimization Problems

This paper is devoted to the investigation of optimality conditions and saddle point theorems for robust approximate quasi-weak efficient solutions a nonsmooth uncertain multiobjective fractional semi-infinite optimization problem (NUMFP). Firstly, necessary condition established by using properties Gerstewitz’s function. Furthermore, kind pseudo/quasi-convex function defined (NUMFP), under its assumption, sufficient obtained. Finally, we introduce notion (NUMFP) prove corresponding theorems.