Some Common Coincidence Point Theorems on Weakly Increasing Mappings in Partially Ordered Cone Metric Spaces
Abstract
We study some common coincidence and common fixed point theorems for weakly increasing mappings with respect to a self maps on partially ordered cone metric spaces, where the cone is not necessarily normal. Our results generalized several well-known comparable results in the literature.
Keywords
References
- Abbas, M., Rhodes, B.E., “Fixed and periodic point results in cone metric spaces”, Appl. Math. Lett., 22: 511-515 (2008).
- Agarwal, R.P., El-Gebeily, M.A., O’Regan, D., “Generalized contractions in partially orderd metric spaces”, Appl. Anal., 87 (1): 109- 116(2008).
- Altun, I., Durmaz, G., “Some fixed point theorems on ordered cone metric spaces”, Rend. Circ. Mat. Palermo, 58:319-325(2009).
- Altun, I., Damjanović, B., Djorić, D., “Fixed point and common fixed point theorems on ordered cone metric spaces”, Applied Mathematics Letters, 23: 310-316 (2010).
- Ćirić, Lj., Cakić, A.N., Rajović, M., Ume, J.S., “Monotone generalized nonlinear contractions in partially metric spaces”, Fixed Point Theory Appl., 11 Article ID 131294(2008).
- Haung, L.G., Zhang, X., “Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl., 332: 1468-1476(2007).
- Janković, S. Golubović, Z., Radenović, S., “Compatible and weakly compatible mappings in cone metric spaces”, Mathematical and Computer Modelling, 52: 1728-1738(2010).
- Jungck, G., “Compatible mappings and common fixed points”, Int. J. Math. Math. Sci., 771-779 (1986).
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Publication Date
January 24, 2012
Submission Date
March 6, 2011
Acceptance Date
-
Published in Issue
Year 2012 Volume: 25 Number: 1