MORE ON THE BEHAVIORS OF FIXED POINTS SETS OF MULTIFUNCTIONS AND APPLICATIONS

In this paper, we study the behaviors of fixed points sets of non necessarily pseudo-contractive multifunctions. Rather than comparing the images of the involved mul- tifunctions, we make use of some conditions on the fixed points sets to establish general re- sults on their stability and continuous dependence. We illustrate our results by applications to dierential inclusions and give stability results of fixed points sets of non necessarily pseudo-contractive multifunctions with respect to the bounded proximal convergence.