Fixed Point Structures, Invariant Operators, Invariant Partitions, and Applications to Carathéodory Integral Equations

A. Petruşel (), I. A. Rus () and M.-A. Şerban ()
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A. Petruşel: Babeş-Bolyai University of Cluj-Napoca, Department of Mathematics
I. A. Rus: Babeş-Bolyai University of Cluj-Napoca, Department of Mathematics
M.-A. Şerban: Babeş-Bolyai University of Cluj-Napoca, Department of Mathematics

A chapter in Contributions in Mathematics and Engineering, 2016, pp 497-515 from Springer

Abstract: Abstract The aim of this paper is to present the technique of the fixed point partition with respect to an operator and a fixed point structure, to study the data dependence of the fixed points, Ostrowski property and well posedness of the fixed point problem. An application to a class of Carthéodory integral equation is given. Some research directions are also presented.

Keywords: Fixed Point Structure; Invariant Partition; Picard Operator; Important Abstract Concepts; Data-dependent Properties (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31317-7_24

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DOI: 10.1007/978-3-319-31317-7_24

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