Motivated by a problem concerning multi-valued mappings posed by Reich [S. Reich, Some fixed point problems, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 57 (1974) 194–198] and a paper of Jleli and Samet [M. Jleli, B. Samet, A new generalization of the Banach contraction principle, J. Inequal. Appl. 2014:38 (2014) 1–8], we consider a new class of multi-valued mappings that satisfy a Φ-contractive condition in complete metric spaces and prove some fixed point theorems. These results generalize Reich’s and Mizoguchi-Takahashi’s fixed point theorems. Some examples are given to show the usability of the obtained results.
Nastasi, A., Vetro, P. (2017). A generalization of Reich’s fixed point theorem for multi-valued mappings. FILOMAT, 31(11), 3295-3305 [10.2298/fil1711295n].
A generalization of Reich’s fixed point theorem for multi-valued mappings
Nastasi, Antonella;Vetro, Pasquale
2017-01-01
Abstract
Motivated by a problem concerning multi-valued mappings posed by Reich [S. Reich, Some fixed point problems, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 57 (1974) 194–198] and a paper of Jleli and Samet [M. Jleli, B. Samet, A new generalization of the Banach contraction principle, J. Inequal. Appl. 2014:38 (2014) 1–8], we consider a new class of multi-valued mappings that satisfy a Φ-contractive condition in complete metric spaces and prove some fixed point theorems. These results generalize Reich’s and Mizoguchi-Takahashi’s fixed point theorems. Some examples are given to show the usability of the obtained results.
| File | Dimensione | Formato | |
|---|---|---|---|
|
0354-51801711295N.pdf
Solo gestori archvio
Descrizione: Il testo pieno dell’articolo è disponibile al seguente link: https://www.pmf.ni.ac.rs/filomat-content/2017/31-11/31-11-21.pdf
Tipologia:
Versione Editoriale
Dimensione
266.71 kB
Formato
Adobe PDF
|
266.71 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.
