Optimality Conditions of Given Set-valued Optimization Problems with Respect to Set Optimization by Using Embedding Function

In this current study, set-valued optimization problem is considered. There are some criteria to obtain solutions of this set-valued optimization problem. The two most commonly used criteria are set and vector approaches in the literature. In this work, we investigated the solutions of set-valued optimization problems with respect to set approach. Many methods such as scalarization, vectorization and directional derivative are used to find the optimality conditions of set-valued optimization problems with respect to set approach. Apart from these methods, we used embedding function to obtain optimality conditions in this study. An embedding space is used in order to obtain optimality conditions by using embedding function. Some properties of this space and embedding function are studied. Moreover, an example is given to understand more better of the study