Hadamard Well-Posed Vector Optimization Problems

In this paper, two kinds of Hadamard well-posedness for vector-valued optimization problems are introduced. By virtue of scalarization functions, the scalarization theorems of convergence for sequences of vector-valued functions are established. Then necessary and sufficient conditions for efficient solutions are given, sufficient conditions of Hadamard well-posedness for vector optimization problems are obtained by using the scalarization theorems.