APM  Vol.1 No.5 , September 2011
A Common Fixed Point Theorem for Compatible Mappings of Type (C)
ABSTRACT
We establish a common fixed-point theorem for six self maps under the compatible mappings of type (C) with a contractive condition [1], which is independent of earlier contractive conditions.

Cite this paper
nullM. Rangamma, S. Mathur and P. Rao, "A Common Fixed Point Theorem for Compatible Mappings of Type (C)," Advances in Pure Mathematics, Vol. 1 No. 5, 2011, pp. 267-273. doi: 10.4236/apm.2011.15047.
References
[1]   K. Jha, R. P. Pant and S. L. Singh, “On the Existence of Common Fixed Point for Compatible Mappings,” Journal of Mathematics, Vol. 37, 2005, pp. 39-48.

[2]   R. P. Pant, P. C. Joshi and V. Gupta, “A Meir-Keelar Type Fixed Point Theorem,” Indian Journal of Pure & Applied Mathematics, Vol. 32, No. 6, 2001, pp. 779-787.

[3]   R. P. Pant, “A Common Fixed Point Theorem for Two Pairs of Maps Satisfying the Condition (E.A),” Journal of Physical Sciences, Vol. 16, No. 12, 2002, pp. 77-84.

[4]   G. Jungck, “Compatible Mappings and Common Fixed Points,” International Journal of Mathematics and Mathematical Sciences, Vol. 9, 1986, pp. 771-779.

[5]   G. Jungck, P. P. Murthy and Y. J. cho, “Compatible Mappings of Type(A) and Common Fixed Point Theorems,” Mathematica Japonica, Vol. 38, No. 2, 1993 pp. 381-390.

[6]   H. K. Pathak and M. S. Khan, “Compatible Mappings of Type (B) and Common Fixed Point Theorems of Gregus Type,” Czechoslovak Mathematical Journal, Vol. 45, No. 120, 1995, pp. 685-698

[7]   H. K. Pathak, Y. J. cho, S. M. Kang and B. Madharia, “Compatible Mappings of Type (C) and Common Fixed Point Theorems of Gergus Type,” Demonstratio Mathematica, Vol. 31, No. 3, 1998, pp. 499-518.

[8]   H. K. Pathak, Y. J. Cho, S. S. Chang, et al., “Compatible Mappings of Type (P) and Fixed Point Theorem in Metric Spaces and Probabilistic Metric Spaces,” Novisad. Journal of Mathematics, Vol. 26, No. 2, 1996, pp. 87-109.

[9]   J. Jachymski, “Common Fixed Point Theorem for Some Families of Mappings,” Indian Journal of Pure & Applied Mathematics, Vol. 25, 1994, pp. 925-937.

 
 
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