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Some Fixed and Common Fixed Point Theorems in Metric Spaces

Published online by Cambridge University Press:  20 November 2018

V. M. Sehgal
V. M. Sehgal*
Affiliation:
University of Wyoming Laramie, Wyoming 82070, U.S.A.
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Let (X, d) be a metric space and Ti(i=l, 2) be self mappings of X. The purpose of this paper is to investigate the fixed and common fixed points of Ti, when the pair Ti(i=l, 2) satisfies a condition of the following type:

(1)

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 2 , 01 June 1974 , pp. 257 - 259
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Boyd, D. W. and S, J.. Wong, W., On nonlinear contractions, Proc. Amer. Math. Soc. 20 (1969), 458-464.Google Scholar
2. Fukushima, H., On non-contractive mappings, Yokohama Math. J., 1 (1971), 29-34.Google Scholar
3. Kannan, R., Some results onfixedpoints—II, Amer. Math. Monthly, 76 (1969), 405-408.Google Scholar
4. Maki, H., Remark on fixed point of k-regular mappings (private communication).Google Scholar
5. Rakotch, E., A note on contractive mappings, Proc. Amer. Math. Soc, 13 (1962), 459-465.Google Scholar
6. Reich, S., Some remarks concerning contraction mappings, Canad. Math. Bull., 1 (1971), 121-124.Google Scholar
7. Reich, S., Kannan’s fixed point Theorem, Bollettino U.M.I., 4 (1971), 1-11.Google Scholar
8. Sehgal, V. M., On fixed and periodic fixed points for a class of mappings, J. London Math. Soc. (to appear).Google Scholar
9. Singh, S. P., On fixed points, Institut Mathématique, 25 (1971), 29-32.Google Scholar
10. Srivastava, P. and Gupta, V. K., A note on common fixed points, Yokohama Math. Journal, vol. XIX, No. 2 (1971), 91-95.Google Scholar