On Saddle Points of Multiobjective Functions

摘要

This paper is concerned with existence theorems for cone-saddle points of vector-valued functions in finite dimensional Euclidean spaces. By means of vector variational-like inequalities, we first characterize a vector saddle point problem and obtain the existence result under some conditions on the subdifferentiable of the vector-valued function. The continuity and convexity assumptions on the objective function are then relaxed.