Homotopic Metric-Interval L-Contractions in Gauge Spaces

Mihai Turinici ()
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Mihai Turinici: A. I. Cuza University

A chapter in Nonlinear Analysis, Differential Equations, and Applications, 2021, pp 639-703 from Springer

Abstract: Abstract A functional version—under the lines in Leader [Math. Japonica, 24 (1979), 17–24]—is given for the 1967 contraction mapping principle in Gheorghiu [Stud. Cerc. Mat., 19 (1967), 119–122]. As a by-product of this, an appropriate functional extension is proposed for the homotopic fixed point result in gauge spaces due to Frigon [L. Notes Nonlin. Anal., 16 (2017), 9–91].

Keywords: Gauge space; Fixed point; Gheorghiu contraction; Homotopy; Bounded regular space; Coercive function; Transversality (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/978-3-030-72563-1_24

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