Volume 11 | Number 2 | Year 2014 | Article Id. IJMTT-V11P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V11P518
The purpose of this paper is to establish some coincidence and common fixed point theorems for three self mappings in cone metric spaces. The results presented in the paper generalize and extend several well-known results in the literature.
1. L.G.Huang, X.Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. ,332(2)(2007), 1468-1476.
2. Sh.Rezapour, R.Hamlbarani, Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl., 345(2) (2008), 719-724.
3. S.K. Malhotra, S. Shukla and R. Sen, Some coincidence and common fixed point theorems in cone metric spaces, Bulletin of Mathematical Analysis and Applications, Vol.4, Issue 2 (2012), 64-71.
4. M. Abbas and G. Jungck, Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl., 341(2008), 416-420.
5. M. Arshad, A. Azam and P. Vetro, Some common fixed point results in cone metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 493965, 11 pages.
6. J. Olaleru, Common Fixed Points of Three Self-Mappings in Cone Metric Spaces, Applied Mathematics E-Notes, 11 (2011) 41-49.
7. M. Abbas and B.E. Rhoades, Fixed and periodic point results in cone metric spaces, Appl. Math. Lett. 21(2008), 511-515.
8. D. Ilic and V. Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl., 341(2008), 876-882.
9. P. Vetro, Common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo 56(2007), 464-468.
10. Stojan Redenovic, Common fixed points under contractive conditions in cone metric spaces, Computers and Mathematics with Applications 58(2009),1273-1278.
11. M. Rangamma and K. Prudhvi, Common fixed points under contractive conditions for three maps in cone metric spaces, Bulletin of Mathematical analysis and applications ,Vol. 4 Issue 1 (2012), 174-180.
12. G. Jungck, S. Radenovic, S. Radojevic and V. Rakocevic, Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed Point Theory and Applications, 57 (2009) article ID 643840, 13 pages.
13. A.K.Dubey, Rita Shukla, R.P.Dubey, Some common fixed point results of three self-mappings in cone metric spaces, Journal of Advances in Mathematics, Vol 7, No. 3(2014),pp 1277-1284.
A.K.Dubey, Rohit Verma, R.P.Dubey, "On Generalization of Some Coincidence and Common Fixed Point Theorems for Three Self Mappings in Cone Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 11, no. 2, pp. 124-134, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V11P518