on mt -cyclic ćirić quasicontractions

Following our previous work [2] on the existence and uniqueness of best proximity points for mt -cyclic ćirić quasicontractions of type i and type ii, we now introduce the concepts of mt -cyclic ćirić quasicontractions of type iii and type iv . using these new notions, we investigate the existence of best proximity points for such mappings in metric spaces. the uniqueness of these points will be established by imposing an additional condition known as ”property uc.”