Hostname: page-component-848d4c4894-jbqgn Total loading time: 0 Render date: 2024-06-26T17:11:00.551Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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