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A Note on Lipschitzian Mappings in Convex Metric Spaces

Published online by Cambridge University Press:  20 November 2018

W. A. Kirk  and
WIlliam O. Ray
W. A. Kirk
Affiliation:
Dept of Math. The University of Iowa, Iowa City, Iowa52242
WIlliam O. Ray
Affiliation:
Dept of Math. The University of Iowa, Iowa City, Iowa52242
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Abstract

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Local criteria are given which imply the lipschitzian character of mappings defined in complete and convex metric spaces.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 4 , 01 December 1977 , pp. 463 - 466
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Clarke, F., Pointwise contraction criteria for the existence of fixed points, preprint.Google Scholar
2. Kirk, W.A. and Ray, W.O., A remark on directional contractions, Proc. Amer. Math. Soc. (to appear).Google Scholar