American Journal of Applied Mathematics and Statistics. 2017, 5(3), 112-114
DOI: 10.12691/AJAMS-5-3-5
Coincidence Points and Common Fixed Points for Four Self-Mappings via Weakly Compatible Mappings in Cone Metric Spaces
K. Prudhvi1,
1Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India
Pub. Date: September 07, 2017
Cite this paper
K. Prudhvi. Coincidence Points and Common Fixed Points for Four Self-Mappings via Weakly Compatible Mappings in Cone Metric Spaces.
American Journal of Applied Mathematics and Statistics. 2017; 5(3):112-114. doi: 10.12691/AJAMS-5-3-5
Abstract
In this paper, we obtain coincidence points and common fixed point theorem for four self-mappings via weakly compatible mappings in cone metric spaces, where the cone is not necessarily normal. These results are improved and generalized several well- known comparable results existing in the references.
Keywords
cone metric space, common fixed point, coincide point
Copyright
This 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] | M. Aamri and D. E. Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270, 181-188, 2002. |
|
[2] | M. Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341, 416-420, 2008. |
|
[3] | M. Abbas and B. E. Rhoades, Fixed and periodic point results in cone metric spaces, Appl. Math. Lett. Vol.22, no.4, 511-515, 2009. |
|
[4] | I. Altun, and G. Durmaz, Some fixed point theorems on ordered cone metric spaces, Rend. Ciric. Mat. Palermo 58, 319-325, 2009. |
|
[5] | M. Arshad, A. Azam and P. Vetro, Some common fixed point results in cone metric spaces, Fixed Point Theory and Applications, Volume, Article ID493965, 11, 2009. |
|
[6] | P. N. Dutta and B. S. Choudary, A generalization of contraction principle in metric spaces, Fixed Point Theory Appl. 2008, Article ID 406386, 8, 2008. |
|
[7] | O. Ege and I. Karaca, Nielsen fixed point theory for digital images, Journal of Computational Analysis and Applications, 22(5), 874-880, 2017. |
|
[8] | L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332(2), 1468-1476, 2007. |
|
[9] | D. IIic, V. Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341, 876-882, 2008. |
|
[10] | Sh. Rezapour and R. Hamlbarani, Some notes on the paper cone metric spaces and fixed point theorem of contractive mappings, J. Math. Anal. Appl. 345, 719-724, 2008. |
|
[11] | P. Vetro, Common fixed points in cone metric spaces, Rendiconti del Circolo Matematico di Palermo, 56(3), 464-468, 2007. |
|