On contractive mappings
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- by Michael A. Geraghty PDF
- Proc. Amer. Math. Soc. 40 (1973), 604-608 Request permission
Abstract:
The Cauchy condition for convergence of a contractive iteration in a complete metric space is replaced by an equivalent functional condition. Many generalizations of the Banach-Neumann contractive mapping principle follow.References
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- James S. W. Wong, Mappings of contractive type on abstract spaces, J. Math. Anal. Appl. 37 (1972), 331–340. MR 292059, DOI 10.1016/0022-247X(72)90278-8
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 604-608
- MSC: Primary 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1973-0334176-5
- MathSciNet review: 0334176