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NONLINEAR ANALYSIS IN GEODESIC METRIC SPACES

Part of: Nonlinear operators and their properties Global differential geometry Infinite-dimensional manifolds

Published online by Cambridge University Press:  05 August 2015

IAN SEARSTON
IAN SEARSTON*
Affiliation:
160 Denton Park Drive, Aberglasslyn, NSW 2320, Australia email ianlynn@idl.net.au
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Abstract

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Keywords

geodesicnonlinear analysisconvexitynonconstant curvatureweak convergenceweak sequential convergencehyperplanesfixed pointsnonexpansiveprojectionsreflections

MSC classification

Primary: 53C23: Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
Secondary: 47H09: Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc. 58B99: None of the above, but in this section
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 3 , December 2015 , pp. 514 - 515
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Bačák, M., Searston, I. and Sims, B., ‘Alternating projections in CAT(0) spaces’, J. Math. Anal. Appl. 385 (2012), 599–607.CrossRefGoogle Scholar