BI-shadowing of contractive set-valued mappings with application to IFS’S : the non-convex case

الملخص EN

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.