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American Journal of Applied Mathematics and Statistics. 2013, 1(2), 27-29
DOI: 10.12691/AJAMS-1-2-2
Original Research

Generalised Common Fixed Point Theorems of A-Compatible and S-Compatible Mappings

Shahidur Rahman1, Yumnam Rohen1, and M. Popeshwar Singh1

1National Institute of Technology Manipur, Imphal, India

Pub. Date: April 15, 2013
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Cite this paper

Shahidur Rahman, Yumnam Rohen and M. Popeshwar Singh. Generalised Common Fixed Point Theorems of A-Compatible and S-Compatible Mappings. American Journal of Applied Mathematics and Statistics. 2013; 1(2):27-29. doi: 10.12691/AJAMS-1-2-2

Abstract

In this paper we prove a common fixed point theorem of four self mappings satisfying a generalized inequality using the concept of A-compatible and S-compatible mappings. Our result generalizes many earlier related results in the literature.

Keywords

common fixed point, complete metric space, compatible mappings, compatible mappings of type (A), A-compatible mappings, S-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]  Bijendra Singh and M.S. Chauhan, On common fixed points of four mappings, Bull. Cal. Math. Soc. 88, 1996 451-456.
 
[2]  Jungck G., Compatible maps and common fixed points, Inter .J. Math. and Math. Sci. 9, 1986 771-779.
 
[3]  Jungck G., Murthy P.P. and Cho Y.J., Compatible mappings of type (A) and common fixed points, Math. Japonica 38 1993, 381-390.
 
[4]  Koireng M., Leenthoi N. and Rohen Y., Common fixed points of compatible mappings of type (R) General Mathematics Notes, 10(1) May 2012, 58-62.
 
[5]  P. P. Murthy, Remarks on fixed point theorem of Sharma and Sahu, Bull. of Pure and Appl. Sc., 12 E(1-2), 1993 7-10.
 
[6]  H.K. Pathak and M.S. Khan, A comparison of various types of compatible maps and common fixed points, Indian J. pure appl. Math., 28(4): April 1997. 477-485.
 
[7]  H.K. Pathak, M.S. Khan and Reny George, Compatible mappings of type (A-1) and type (A-2) and common fixed points in fuzzy metric spaces, International Math. Forum, 2(11): 2007 515-524.
 
[8]  Sharma B. K. and Sahu N. K., Common fixed point of three continuous mappings, The Math. Student, 59 (1) 1991 77-80.