On Rhoades’ open questions
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- by Shih-sen Chang and Qi Chun Zhong PDF
- Proc. Amer. Math. Soc. 109 (1990), 269-274 Request permission
Abstract:
In this paper the open questions raised by Rhoades [1] are answered or partially answered.References
- B. E. Rhoades, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc. 226 (1977), 257–290. MR 433430, DOI 10.1090/S0002-9947-1977-0433430-4
- Shih-Sen Chang, On Rhoades’ open questions and some fixed point theorems for a class of mappings, Proc. Amer. Math. Soc. 97 (1986), no. 2, 343–346. MR 835895, DOI 10.1090/S0002-9939-1986-0835895-3
- Ji Chun Zhong, A fixed point theorem for contractive mappings of type $(16)$, J. Math. Res. Exposition 7 (1987), no. 4, 555–558 (Chinese, with English summary). MR 938229 L. E. Taylor, A contractive mapping without fixed points, Notices Amer. Math. Soc. 24 (1977), A-649.
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 269-274
- MSC: Primary 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1990-1007491-X
- MathSciNet review: 1007491