TY - JOUR ID - Alleche2015 LB - Alleche2015 AU - Alleche, Boualem AU - Nachi, Khadra TI - More on the behaviors of fixed points sets of multifunctions and applications ST - More on the behaviors of fixed points sets of multifunctions and applications JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2015 VL - 35 IS - 4 SP - 427 EP - 443 DO - http://dx.doi.org/10.7494/OpMath.2015.35.4.427 UR - http://dx.doi.org/10.7494/OpMath.2015.35.4.427 AB - 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 multifunctions, we make use of some conditions on the fixed points sets to establish general results on their stability and continuous dependence. We illustrate our results by applications to differential inclusions and give stability results of fixed points sets of non necessarily pseudo-contractive multifunctions with respect to the bounded proximal convergence. KW - multifunction KW - fixed point KW - Pompeiu-Hausdorff metric KW - bounded proximal convergence KW - differential inclusion SN - 1232-9274 ER -