The class of F-contraction mappings with a measure of noncompactness
- Authors: Vetro, Calogero*; Vetro, Francesca
- Publication year: 2017
- Type: Capitolo o Saggio (Capitolo o saggio)
- OA Link: http://hdl.handle.net/10447/288304
Abstract
In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings. We also present a new fixed-point existence result obtained by considering such a kind of contraction condition and a measure of noncompactness. Moreover, we show the applicability of these results in the theory of functional equations.