A General Approach on Picard Operators

Nicolae Adrian Secelean () and Dariusz Wardowski ()
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Nicolae Adrian Secelean: Lucian Blaga University of Sibiu, Department of Mathematics and Computer Science
Dariusz Wardowski: University of Lodz, Faculty of Mathematics and Computer Science, Department of Nonlinear Analysis

Chapter Chapter 20 in Advances in Metric Fixed Point Theory and Applications, 2021, pp 475-503 from Springer

Abstract: Abstract In the chapter there are presented the recent investigations concerning the existence and the uniqueness of fixed points for the mappings in the setting of spaces which are not metric with different functions of measuring the distance and in consequence with the various convergence concepts. In this way we obtain the systematized knowledge of fixed point tools which are, in some situations, more convenient to apply than the known theorems with an underlying usual metric space. The appropriate illustrative examples are also presented.

Keywords: Fixed point; Picard operator; Generalized metric space; $$\rho $$ ρ -metric space; Convergence (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-33-6647-3_20

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DOI: 10.1007/978-981-33-6647-3_20

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