A fixed point theorem for locally nonexpansive mappings in normed spaces
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- by C. Waters PDF
- Proc. Amer. Math. Soc. 97 (1986), 695-699 Request permission
Abstract:
It is shown that global conditions in a recent result of W. A. Kirk can be replaced with the corresponding local conditions in case the domain is connected. Also a remark is made about the proof of the theorem referenced.References
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H. Freundenthal and W. Hurewicz, Duhnungen, Verkurzungen, Isometrien, Fund. Math. 26 (1936), 120-122.
- W. A. Kirk, Remarks on fixed points and boundaries, Proc. Amer. Math. Soc. 87 (1983), no. 1, 62–64. MR 677232, DOI 10.1090/S0002-9939-1983-0677232-0
- Ira Rosenholtz, Evidence of a conspiracy among fixed point theorems, Proc. Amer. Math. Soc. 53 (1975), no. 1, 213–218. MR 400201, DOI 10.1090/S0002-9939-1975-0400201-8
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 695-699
- MSC: Primary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-1986-0845990-0
- MathSciNet review: 845990