We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results for an alpha-psi-type contractive mapping and then for a generalized beta-type contractive mapping. Some examples and an application to Volterra type integral equation are given to support the obtained results.
Gopal, D., Abbas, M., Vetro, C. (2014). Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation. APPLIED MATHEMATICS AND COMPUTATION, 232, 955-967 [10.1016/j.amc.2014.01.135].
Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation
VETRO, Calogero
2014-01-01
Abstract
We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results for an alpha-psi-type contractive mapping and then for a generalized beta-type contractive mapping. Some examples and an application to Volterra type integral equation are given to support the obtained results.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
AMC232_2014.pdf
Solo gestori archvio
Descrizione: Articolo principale
Dimensione
416.6 kB
Formato
Adobe PDF
|
416.6 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.
