A development of contraction mapping principles on Hausdorff uniform spaces
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- by Cheng Ming Lee PDF
- Trans. Amer. Math. Soc. 226 (1977), 147-159 Request permission
Abstract:
Certain generalized Banach’s contraction mapping principles on metric spaces are unified and/or extended to Hausdorff uniform spaces. Also given are some relationships between the set of all cluster points of the Picard iterates and the set of all fixed points for the mapping. These are obtained by assuming that the latter set is nonempty and by considering certain “quasi"-contractive conditions. The ("quasi") contractive conditions are defined by using a suitable family of pseudometrics on the uniform space.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 226 (1977), 147-159
- MSC: Primary 54H25
- DOI: https://doi.org/10.1090/S0002-9947-1977-0428315-3
- MathSciNet review: 0428315