BI-SHADOWING OF CONTRACTIVE SET-VALUED MAPPINGS WITH APPLICATION TO IFS’S: THE NON-CONVEX CASE

In this paper we prove that systems generated by uniformly locally contractive set-valued mappings are bi-shadowing with respect to comparison setvalued contractive mappings that have nonempty and compact (not necessarily convex) values. An application to iterated function systems (IFSs) in a complete metric space is given.