SET-VALUED PERTURBATION STABILITY OF LOCAL METRIC REGULARITY

摘要

This paper mainly discusses the stability of the metric regularity under set-valued perturbations which are not of the usual addition type. Under a condition which is not comparable with which was given in a previous result, we obtain a stability result of the local metric regularity in a different point of view. Furthermore, our result is stronger than an existing one. When the origin mapping is single-valued, we give a new way to prove the result using a fixed point theorem.