Higher-Order Scalarization Theorems for Strictly Efficient Solutions of Set-Valued Optimization Problems

Abstract

In this paper,higher-order derivatives type scalarization theorems are discussed for strictly efficient solutions of set-valued optimization problems.Firstly,we obtain a generalized higherorder derivatives type necessary optimality condition for strictly efficient solutions of a set-valued optimization problem.Secondly,scalarization necessary conditions and sufficient conditions are derived for strictly efficient solutions of set-valued optimization problems by employing generalized higher-order epiderivatives.