On b-Metric Spaces and Brower and Schauder Fixed Point Principles

Stefan Czerwik ()
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Stefan Czerwik: Silesian University of Technology, Institute of Mathematics

A chapter in Approximation Theory and Analytic Inequalities, 2021, pp 71-86 from Springer

Abstract: Abstract In the paper, we present the basic ideas in b-metric spaces (and b-normed spaces). The main result is the Schauder fixed point principle. For the proof, we use the method presented by Dugundji and Granas in their book [4].

Keywords: b-metric space; Completion of b-metric space; Fixed point for operator in b-metric space; Generalized b-metric space; 54D35; 54E50; 54E99; 46S20; 47H10 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-60622-0_6

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DOI: 10.1007/978-3-030-60622-0_6

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