We introduce new concepts of generalized contractive and generalized alpha-Suzuki type contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on complete metric spaces and b-complete b-metric spaces. Our results extend the theorems of Ciric, Chatterjea, Kannan and Reich.

Hussain, N., Parvaneh, V., Samet, B., Vetro, C. (2015). Some fixed point theorems for generalized contractive mappings in complete metric spaces. FIXED POINT THEORY AND APPLICATIONS, 2015(1), 1-17 [10.1186/s13663-015-0433-z].

Some fixed point theorems for generalized contractive mappings in complete metric spaces

VETRO, Calogero
2015-01-01

Abstract

We introduce new concepts of generalized contractive and generalized alpha-Suzuki type contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on complete metric spaces and b-complete b-metric spaces. Our results extend the theorems of Ciric, Chatterjea, Kannan and Reich.
2015
Settore MAT/05 - Analisi Matematica
Hussain, N., Parvaneh, V., Samet, B., Vetro, C. (2015). Some fixed point theorems for generalized contractive mappings in complete metric spaces. FIXED POINT THEORY AND APPLICATIONS, 2015(1), 1-17 [10.1186/s13663-015-0433-z].
File in questo prodotto:
File Dimensione Formato  
2015_FPTA185_HussainParvanehSametVetro.pdf

accesso aperto

Descrizione: Articolo principale
Tipologia: Versione Editoriale
Dimensione 1.67 MB
Formato Adobe PDF
1.67 MB Adobe PDF Visualizza/Apri

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/10447/148920
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 55
  • ???jsp.display-item.citation.isi??? 53
social impact