Approximate fixed points of set-valued mapping in b-metric space
- Authors: Samet, B.; Vetro, C.; Vetro, F.
- Publication year: 2016
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/213219
Abstract
We establish existence results related to approximate fixed point property of special types of set-valued contraction mappings, in the setting of b-metric spaces. As consequences of the main theorem, we give some fixed point results which generalize and extend various fixed point theorems in the existing literature. A simple example illustrates the new theory. Finally, we apply our results to establishing the existence of solution for some differential and integral problems.