An approach to fixed-point theorems on uniform spaces
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- Trans. Amer. Math. Soc. 191 (1974), 209-225 Request permission
Abstract:
Diaz and Metcalf [2] have some interesting results on the set of successive approximations of a self mapping which is either a nonexpansion or a contraction on a metric space with respect to the set of fixed points of the mapping. We have extended most of these results to a Hausdorff uniform space. We have also proved a Banach’s contraction mapping principle on a complete Hausdorff uniform space and indicated some applications in locally convex linear topological spaces.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 191 (1974), 209-225
- MSC: Primary 54H25; Secondary 47H10
- DOI: https://doi.org/10.1090/S0002-9947-1974-0362283-5
- MathSciNet review: 0362283