# Fixed points of contractions and cyclic contractions on $C^{*}$-algebra-valued $b$-metric spaces

Document Type: Original Article

Authors

1 Department of Mathematics and Computer Science, University of Palermo

2 Faculty of Mechanical Engineering, University of Belgrade

Abstract

In this paper, we discuss and improve some recent results about
contractive and cyclic mappings established in the framework of
$C^{*}$-algebra-valued $b$-metric spaces. Our proofs are much
shorter than the ones in existing literature. Also, we give two
examples that support our approach.

Keywords

### Histroty

• Receive Date: 13 October 2016
• Revise Date: 03 November 2016
• Accept Date: 05 November 2016