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American Journal of Applied Mathematics and Statistics. 2014, 2(4), 207-211
DOI: 10.12691/AJAMS-2-4-5
Original Research

Common Fixed Point Theorem of Comatible Mappings in Metric Space

R K Gujetiya1, Mala Hakwadiya2, and Dheeraj Kumari Mali2

1Department of Mathematics, Govt. P. G. College, Neemuch, India

2Pacific Academy of Higher Education, and Research University Udaipur, Rajasthan, India

Pub. Date: July 24, 2014

Cite this paper

R K Gujetiya, Mala Hakwadiya and Dheeraj Kumari Mali. Common Fixed Point Theorem of Comatible Mappings in Metric Space. American Journal of Applied Mathematics and Statistics. 2014; 2(4):207-211. doi: 10.12691/AJAMS-2-4-5

Abstract

In this paper we prove a common fixed point theorem of compatible mappings of type (R). Our result modify the result of M. Koireng Meitei [4].

Keywords

fixed point, complete metric space, compatible mappings

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

[1]  Singh, B. and Chauhan, M.S., “On common fixed points of four mappings”, Bull. Cal. Math. Soc., 88, 451-456, 1996.
 
[2]  Jungck, G. “Compatible maps and common fixed points”, Inter. J. Math. And Math. Sci., 9, 771-779, 1986.
 
[3]  Pathak, H.K., Chang, S.S. and Cho, Y.J., “Fixed point theorem for compatible mappings of type (P)”, Indian J. Math. 36(2), 151-166, 1994.
 
[4]  Koireng Meitei, M., Ningombam, L. and Rohen, Y. “common fixed point theorem of compatible mappings of type(R)”, Gen.Math. Notes, 10(1), 58-62, May 2012.
 
[5]  Rohen, Y., Singh, M.R. and Shambhu, L., “Common fixed points of compatible mapping of type (C) in Banach Spaces”, Proc. of Math.Soc., 11(2), 42-50, 2011.