American Journal of Applied Mathematics and Statistics. 2014, 2(4), 249-251
DOI: 10.12691/ajams-2-4-15
Open AccessArticle
K. Prudhvi1,
1Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India.
Pub. Date: August 17, 2014
Cite this paper:
K. Prudhvi. Coincidence Point Theorem of Two Self-Mappings in Ordered Cone Metric Spaces. American Journal of Applied Mathematics and Statistics. 2014; 2(4):249-251. doi: 10.12691/ajams-2-4-15
Abstract
In the present work, we establish a coincidence point theorem of two mappings in an ordered cone metric spaces, where the cone is not necessarily normal. Our result extends and improves recent results in the literature.Keywords:
coincidence point cone metric space ordered sets
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References:
| [1] | M.Abbas and G.Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341 (2008) 416-420. |
| |
| [2] | I. Altun, G. Durmaz, Some fixed point theorems on ordered cone metric spaces, Rend. Circ. Mat. Palermo 58 (2009) 319-325. |
| |
| [3] | I. Altun, B.Damjanović, D. Djorić, Fixed point and common fixed point theorems on ordered cone metric spaces, Appl. Math. Lett. 23 (2012) 310-316. |
| |
| [4] | L.G.Huang, X.Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2) (2007) 1468-1476. |
| |
| [5] | S.Janković, Z.Golubović, S.Radenović, Compatible and weakly compatible mappings in cone metric Spaces, Math. Comput. Modelling 52 (2010) 1728-1738. |
| |
| [6] | G.Jungck, Compatible mappings and common fixed points, Int. J. Math. Sci. 9 (1986) 771-779. |
| |
| [7] | G.Jungck, Common fixed point for noncontinuous nonself maps on nonmetric spaces, Far East J. Math. Sci. 4 (1996) 199-215. |
| |
| [8] | S.Rezapour and Halbarani, Some notes on the paper “cone metric spaces and fixed point theorem of contractive mappings “, J. Math. Anal. Appl., 345 (2008), 719-724. |
| |
| [9] | W. Shatanawi, Some coincidence point results in cone metric spaces, Vol. 55, Issue 7-8 (2012) 2023- 2028. |
| |