Common fixed point theorems for weakly compatible pairs on cone metric spaces

Fixed Point Theory and Applications

Volumn 2009, Issue , 2009, Pages 1-13

  Jungck, G ^a   Radenovic S ^b   Radojevic S ^b   Rakocevic V ^c  

^a BRADLEY UNIVERSITY   (United States)

^b UNIVERSITY OF BELGRADE   (Serbia)

^c UNIVERSITY OF NI   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67650164859     PISSN: 16871820     EISSN: 16871812     Source Type: Journal    
DOI: 10.1155/2009/643840     Document Type: Article

References (12)

1. M. Abbas and G. Jungck, "Common fixed point results for noncommuting mappings without continuity in cone metric spaces," Journal of Mathematical Analysis and Applications, vol. 341, no. 1, pp. 416-420, 2008.
2. L.-G. Huang and X. Zhang, "Cone metric spaces and fixed point theorems of contractive mappings," Journal of Mathematical Analysis and Applications, vol. 332, no. 2, pp. 1468-1476, 2007.
3. P. Vetro, "Common fixed points in cone metric spaces," Rendiconti del Circolo Matematico di Palermo, vol. 56, no. 3, pp. 464-468, 2007.
4. Sh. Rezapour and R. Hamlbarani, "Some notes on the paper: "Cone metric spaces and fixed point theorems of contractive mappings"," Journal of Mathematical Analysis and Applications, vol. 345, no. 2, pp. 719-724, 2008.
5. C. D. Aliprantis and R. Tourky, Cones and Duality, vol. 84 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, USA, 2007.
6. H. Mohebi, "Topical functions and their properties in a class of ordered Banach spaces," in Continuous Optimization, vol. 99 of Applied Optimization, pp. 343-361, Springer, New York, NY, USA, 2005.
7. P. Raja and S. M. Vaezpour, "Some extensions of Banach' contraction principle in complete cone metric spaces," Fixed Point Theory and Applications, Article ID 768294, 11 pages, 2008.
8. D. Ilić and V. Rakočević, "Common fixed points for maps on cone metric space," Journal of Mathematical Analysis and Applications, vol. 341, no. 2, pp. 876-882, 2008.
9. D. Ilić and V. Rakočević, "Quasi-contraction on a cone metric spacestar, open," Applied Mathematics Letters, vol. 22, no. 5, pp. 728-731, 2009.
10. Y.-C.Wong and K.-F. Ng, Partially Ordered Topological Vector Spaces, Oxford Mathematical Monograph, Clarendon Press, Oxford, UK, 1973.
11. Sh. Rezapour, "A review on topological properties of cone metric spaces," in Analysis, Topology and Applications (ATA '08), Vrnjacka Banja, Serbia, May-June 2008.
12. B. E. Rhoades, "A comparison of various definitions of contractive mappings," Transactions of the American Mathematical Society, vol. 226, pp. 257-290, 1977.