Hadamard Well-posed Vector Optimization Problems

Afsaneh Poormoezi · Journal of Mathematics and Computer Science · 2014

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.

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