DOI: 10.24193/fpt-ro.2020.1.10

Authors: Ștefan Cobzaș and Stefan Czerwik

Abstract: We introduce the notion of generalized b-metric, as a b-metric which can take infinite values, and prove the existence and uniqueness of the completion of some particular b-metric spaces (called generalized strong b-metric spaces). Some fixed point results in b-metric spaces and their counterparts in generalized b-metric spaces are proved.

Key Words and Phrases: Metric space, metrizability, b-metric space, generalized b-metric space, completion of a generalized b-metric space, fixed point.

2010 Mathematics Subject Classification: 54E25, 54D35, 54E35, 54E50, 47H10.

Published on-line: February 1st, 2020.

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