DOI: 10.24193/fpt-ro.2020.1.03

Authors: Suzana Aleksić, Zoran D. Mitrović and Stojan Radenović

Abstract: The purpose of this article is to provide much simpler and shorter proofs of some important results in the framework of b-metric spaces. Namely, we show that the given contractive condition implies b-Cauchyness of the corresponding Picard sequence. The obtained results improve well-known comparable results in the literature.

Key Words and Phrases: b-metric space, b-complete, b-Cauchy, b-continuous, Picard sequence.

2010 Mathematics Subject Classification: 47H10, 54H25.

Published on-line: February 1st, 2020.

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