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Scalarized solutions of set-valued optimization problems and generalized variational-like inequalities
2017
Filomat
In this paper by using the scalariation method we introduced the concept of relaxed K-preinvex set-valued maps and obtain some equivalence results of them in terms of normal subdifferential. Also, we consider generalized Minty variational-like inequalities and show that the set of solutions is equal to scalarized set-valued optimization problems's solutions under generalized relaxed convexity assumptions.
doi:10.2298/fil1712953o
fatcat:uy6ci6ao3reuvna6z7gtgdyfsa