Common fixed-point theorems for commuting maps on a metric space

Das, K. M.; Naik, K. Viswanatha

doi:10.1090/S0002-9939-1979-0545598-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Common fixed-point theorems for commuting maps on a metric space
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by K. M. Das and K. Viswanatha Naik

Proc. Amer. Math. Soc. 77 (1979), 369-373

DOI: https://doi.org/10.1090/S0002-9939-1979-0545598-7

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Abstract:

Results generalizing and unifying fixed point theorems of Jungck and Ciric are established.

References

Lj. B. Ćirić, A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc. 45 (1974), 267–273. MR 356011, DOI 10.1090/S0002-9939-1974-0356011-2
Gerald Jungck, Commuting mappings and fixed points, Amer. Math. Monthly 83 (1976), no. 4, 261–263. MR 400196, DOI 10.2307/2318216
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