Coincidence point results in nonconvex domains of q-normed spaces

Abstract

Coincidence points results for families of four relatively nonexpansive mappings on nonconvex domains in $q$-normed spaces have been obtained in the present work. As applications, best approximation results have been given. These results extend and generalize previously known results to a more general class of non commuting relatively nonexpansive mappings in a~space which is not necessarily locally convex.