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.

Vetro, C., Vetro, F. (2017). The class of F-contraction mappings with a measure of noncompactness. In Banas Jozef, Jleli Mohamed, Mursaleen Mohammad, Samet Bessem, Vetro Calogero (a cura di), Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness (pp. 297-331). Springer Singapore [10.1007/978-981-10-3722-1_7].

The class of F-contraction mappings with a measure of noncompactness

Vetro, Calogero;Vetro, Francesca
2017-01-01

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.
2017
Vetro, C., Vetro, F. (2017). The class of F-contraction mappings with a measure of noncompactness. In Banas Jozef, Jleli Mohamed, Mursaleen Mohammad, Samet Bessem, Vetro Calogero (a cura di), Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness (pp. 297-331). Springer Singapore [10.1007/978-981-10-3722-1_7].
File in questo prodotto:
File Dimensione Formato  
2017_Springer_C7Vetro.pdf

Solo gestori archvio

Descrizione: Capitolo libro
Dimensione 314.98 kB
Formato Adobe PDF
314.98 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/288304
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? ND
social impact