Open Access
Translator Disclaimer
Autumn 2016 Fixed points of contractions and cyclic contractions on $C^{*}$-algebra-valued $b$-metric spaces
Zoran Kadelburg, Antonella Nastasi, Stojan Radenović, Pasquale Vetro
Adv. Oper. Theory 1(1): 92-103 (Autumn 2016). DOI: 10.22034/aot.1610.1030

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.

Citation

Download Citation

Zoran Kadelburg. Antonella Nastasi. Stojan Radenović. Pasquale Vetro. "Fixed points of contractions and cyclic contractions on $C^{*}$-algebra-valued $b$-metric spaces." Adv. Oper. Theory 1 (1) 92 - 103, Autumn 2016. https://doi.org/10.22034/aot.1610.1030

Information

Received: 13 October 2016; Accepted: 5 November 2016; Published: Autumn 2016
First available in Project Euclid: 4 December 2017

zbMATH: 06664783
MathSciNet: MR3721327
Digital Object Identifier: 10.22034/aot.1610.1030

Subjects:
Primary: 47H10
Secondary: 54H25

Keywords: $b$-metric space , $C^{*}$-algebra-valued $b$-metric space , cyclic type mapping , expansive mapping

Rights: Copyright © 2016 Tusi Mathematical Research Group

JOURNAL ARTICLE
12 PAGES


SHARE
Vol.1 • No. 1 • Autumn 2016
Back to Top