COMMON FIXED POINT RESULT IN ORDERED CONE METRIC SPACES

Year 2013, Volume: 42 Issue: 5, 525 - 531, 01.05.2013

Mujahid Abbas İshak Altun

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

• Abbas, M., Rhoades, B.E. Fixed and periodic point results in cone metric spaces, Appl. Math. Lett. 22, 511-515, 2009.
• 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.
• Haghi, R.H., Rezapour, Sh. Fixed points of multifunctions on regular cone metric spaces, Expo. Math. 28, 71-77, 2010.
• Huang, L.G., Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1467-1475, 2007.
• Ili´ c, D., Rakoˇ cevi´ c, V. Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341, 876-882, 2008.
• Jankovi´ c, S., Kadelburg, Z., Radenovi´ c, S. On cone metric spaces: A survey, Nonlinear Analysis 74, 2591-2601, 2011.
• 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.
• 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.
• 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.