Fixed Point Theorems for a System of Mappings in Generalized b-Metric Spaces

Stefan Czerwik () and Themistocles M. Rassias ()
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Stefan Czerwik: Silesian University of Technology
Themistocles M. Rassias: National Technical University of Athens

A chapter in Mathematical Analysis and Applications, 2019, pp 41-51 from Springer

Abstract: Abstract In this paper we present some results of both global and local type on the existence of fixed points for a system of mappings in generalized b-metric spaces. In particular, we obtain a strict generalization of the Banach contraction principle for mappings in ordinary complete metric spaces.

Keywords: Generalized b-metric space; Local fixed point; 47H10; 54E99; 46-99 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-31339-5_3

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DOI: 10.1007/978-3-030-31339-5_3

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