The aim of this paper is to study the concept of compatible mappings of type (R) and discussed a common fixed point theorem for three compatible mappings of type (R) satisfying contractive conditions.

Periodical:

The Bulletin of Society for Mathematical Services and Standards (Volume 9)

Pages:

18-24

Citation:

O. B. Singh "Common Fixed Point Theorem for Three Self Mappings", The Bulletin of Society for Mathematical Services and Standards, Vol. 9, pp. 18-24, 2014

Online since:

Mar 2014

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

H. Bouhadjera, On Common Fixed Point Theorems for Three and Four Self Mappings Satisfying Contractive Conditions, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 49, 1 (2010), 25 - 31.

Aage, C.T., Salunke, J.N., A note on common fixed point theorems, Int. J. Math. Anal. 2, 28 (2008), 1369 - 1380.

Al - Thagafi, M.A., Shahzad, N., Generalised I - nonexpansive selfmaps and invariant approximations, Acta Math. Sin. (Engl. Ser. ) 24, 5 (2008), 867 - 876.

Sessa S., On weakly commutativity condition in a fixed point consideration, Publ. Int. Math. 32(46)(1986), pp.149-153.

G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9, (1986), 771-779.

G. Jungck, P. P. Murthy and Y. J. Cho, Compatible mappings of type (A) and common fixed points, Math. Japonica, 38, (1993), 381-386.

H.K. Pathak, S.S. Chang and Y.J. Cho, Fixed point theorems for compatibles of type (P), Indian J. Math., 36 (2) (1994), 151 - 156.

M. Rangamma, V. Sriniwas and R. Uma Maheswar Rao, A Common Fixed Point Theorem for Three Selfmaps, The Mathematics Education, Vol. XL, No. 3, Sept. (2006), pp.180-185.