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Continuation methods in certain metric and geodesic spaces
Journal article   Open access  Peer reviewed

Continuation methods in certain metric and geodesic spaces

W. A. Kirk, Naseer Shahzad and Nadia Shahzad
Bulletin of mathematical sciences, Vol.6(2), pp.311-323
01/07/2016
DOI: https://doi.org/10.1007/s13373-016-0081-6

Abstract

Mathematics Physical Sciences Science & Technology
In this paper it is shown that a classical continuation principle due to Granas for contractions holds under weaker contractive assumptions. This leads to a Leray-Schauder principle for such contractions in hyperbolic spaces. Some applications to nonexpansive mappings in hyperbolic geodesic spaces are also discussed.
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https://doi.org/10.1007/s13373-016-0081-6View
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