×

zbMATH — the first resource for mathematics

Random and deterministic fixed point theory for generalized contractive maps. (English) Zbl 1088.47044
In the paper under review, the authors prove fixed point and homotopy results for generalized contractive maps on metric spaces. Random analogues of these results are also obtained. Finally, the deterministic fixed point and homotopy results are further extended to gauge spaces.

MSC:
47H10 Fixed-point theorems
47H40 Random nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] DOI: 10.1006/jmaa.2000.6914 · Zbl 0967.47038 · doi:10.1006/jmaa.2000.6914
[2] DOI: 10.1090/S0002-9939-1969-0239559-9 · doi:10.1090/S0002-9939-1969-0239559-9
[3] Dugundji J, Topology, Ally and Bacon (1966)
[4] Frigon M, Universidad de Sevilla pp pp. 19–30– (1996)
[5] Granas A, Topol. Methods Nonlinear Anal. 3 pp 375– (1994)
[6] O’Regan D, Gordon and Breach (2001)
[7] DOI: 10.1006/jmaa.1994.1256 · Zbl 0856.47036 · doi:10.1006/jmaa.1994.1256
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.