The Lefschetz fixed point theorem for compact absorbing contraction setvalued mappings

چکیده مقاله

On a subset of Banach space which is a locally finite union of closed, convex sets, we extend the Lefschetz fixed point theorem for set-valued mappings. As an application we prove Lefschetz fixed point theorem for compact absorbing contraction set-valued mappings on this subset of Banach space.