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.
|Numero di pagine||13|
|Rivista||THE JOURNAL OF NONLINEAR SCIENCES AND ITS APPLICATIONS|
|Stato di pubblicazione||Published - 2016|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory