COMMON FIXED POINT RESULT IN ORDERED CONE METRIC SPACES

Abstract

Fixed point and common fixed point results for generlized contractivemappings are obtianed in ordered cone metric spaces.

Keywords

• Fixed point
• partially ordered set
• cone metric space2000 AMS Classification:54H25
• 47H10

References

1. Abbas, M., Rhoades, B.E. Fixed and periodic point results in cone metric spaces, Appl. Math. Lett. 22, 511-515, 2009.
2. Altun, I., Damjanovi´ c, B., Djori´ c, D. Fixed point and common fixed point theorems on ordered cone metric spaces, Appl. Math. Lett. 23, 310-316, 2010.
3. Haghi, R.H., Rezapour, Sh. Fixed points of multifunctions on regular cone metric spaces, Expo. Math. 28, 71-77, 2010.
4. Huang, L.G., Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1467-1475, 2007.
5. Ili´ c, D., Rakoˇ cevi´ c, V. Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341, 876-882, 2008.
6. Jankovi´ c, S., Kadelburg, Z., Radenovi´ c, S. On cone metric spaces: A survey, Nonlinear Analysis 74, 2591-2601, 2011.
7. Jungck, G., Radenovi´ c, S., Radojevi´ c, S., Rakoˇ cevi´ c, V. Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed Point Theory and Applications 2009, Article ID 643840, 13 pages, 2009.
8. Kadelburg, Z., Pavlovi´ c, M., Radenovi´ c, S. Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces, Comput. Math. Appl. 59, 3148-3159, 2010.

9. Rezapour, Sh., Hamlbarani, R.H. Some notes on the paper ” Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl. 345, 719-724, 2008. Zhang, X. Fixed point theorem of generalized quasi-contractive mapping in cone metric space, Comput. Math. Appl. 62, 1627-1633, 2011.