Stability of Efficient Solutions for Semi-infinite Vector Optimization Problems

This paper is devoted to the study of the stability of efficient solutions for semi-infinite vector optimization problems (SIO). We first obtain the closedness, Berge-lower semicontinuity and Painlevé-Kuratowski convergence of constraint set mapping. Then, under the assumption of continuous convergence of the objective function, we establish some sufficient conditions of the upper Painlevé-Kuratowski stability of efficient solution mappings to the (SIO). Some examples are also given to illustrate the results.