Open Access
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

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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

Vol.1 • No. 1 • Autumn 2016
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