Ulam Stability of Zero Point Equations

Adrian Petruşel () and Ioan A. Rus ()
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Adrian Petruşel: Babeş-Bolyai University
Ioan A. Rus: Babeş-Bolyai University

Chapter Chapter 16 in Ulam Type Stability, 2019, pp 345-364 from Springer

Abstract: Abstract In this paper, we will study different kind of Ulam stability concepts for the zero point equation. Our approach is based on weakly Picard operator theory related to fixed point and coincidence point equations.

Keywords: Coincidence point equation; Zero point equation; Root equation; Fixed point equation; Functional equation; Difference equation; Differential equation; Integral equation; Convergent iterative algorithm; Retraction on the solution set; Retraction-displacement condition; Ulam inequation corresponding to an equation; Ulam stability; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; Primary 47H10; 54H25; 34D10; 36B20; 45M10; 39A30; 39B12; 65J15 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-28972-0_16

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DOI: 10.1007/978-3-030-28972-0_16

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