Couple fixed point on cone metric spaces

Gazi University Journal of Science

Volumn 24, Issue 1, 2011, Pages 51-58

  Karapinar, Erdal ^a  

^a ATILIM UNIVERSITY   (Turkey)

Author keywords

54H25; Cone metric spaces; Couple fixed point mathematics subject classification: 47H10; Fixed point theory

Indexed keywords

CLASSIFICATION (OF INFORMATION); FIXED POINT ARITHMETIC; FUNCTIONAL ANALYSIS; SET THEORY;

54H25; CONDITION; CONE METRIC SPACES; COUPLE FIXED POINT MATHEMATIC SUBJECT CLASSIFICATION: 47H10; FIXED POINT THEORY; FIXED POINTS; FIXED POINTS THEOREMS; METRIC SPACES; SUBJECT CLASSIFICATION;

TOPOLOGY;

EID: 79551588174     PISSN: None     EISSN: 21471762     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Abdeljawad T., Karapinar, E. "Quasi-Cone Metric Spaces and Generalizations of Caristi Kirk's Theorem" Fixed Point Theory Appl., vol. 2009, Article ID 574387, 9 pages, 2009. doi:10.1155/2009/574387
2. Abdeljawad T., Karapinar, E. "A Common Fixed Point Theorem of a Gregus Type on Convex Cone Metric Spaces" J. Comput. Anal. Appl (to appear)
3. Abdeljawad, T.: "Completion of cone metric spaces", Hacet. J. Math. Stat., 39(1):67-74 (2010).
4. Abdeljawad, T., Turkoglu, D., Abuloha, M.: "Some theorems and examples of cone metric spaces", J. Comput. Anal. Appl., 12(4):739-753(2010).
5. Altun, I., Durmaz, G.: "Some fixed point theorems on ordered cone metric spaces", Rend. Circ. Mat. Palermo 58(2):319-325 (2009).
6. Bhaskar, T.G., Lakshmikantham, V. "Fixed Point Theory in partially ordered metric spaces and applications", Nonlinear Anal., 65:1379-1393(2006).
7. Long-Guang, H., Xian, Z., "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl., 332:1468-1476 (2007).
8. Karapinar, E., "Fixed Point Theorems in Cone Banach Spaces", Fixed Point Theory Appl., Article ID 609281, 9 pages, doi:10.1155/2009/609281. (2009)
9. Karapinar, E.: "Some Fixed Point Theorems on the Cone Banach Spaces", Proc. of 7 ISAAC Congress, World Scientic, 606-612 (2010).
10. Khan, M.S. and Imdad, M.A.: "A common fixed point theorem for a class of mappings", Indian J. Pure Appl. Math.14:1220-1227 (1983).
11. Lin, Shy-Der: "A common fixed point theroem in abstract spaces", Indian J. Pure Appl. Math., 18(8):685-690 (1987).
12. Nieto, J. J., Rodriguez-Lopez, R., "Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations", Order, 2005 (22): 3,223--239 (2006).
13. Rezapour, Sh., Hamlbarani, R., "Some notes on the paper:Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl., 347,719--724 (2008).
14. Rezapour, Sh., "A review on topological properties of cone metric spaces", Analysis, Topology and Applications Vrinjacka Banja, Serbia, Serbia, from May 30 to June 4, 2008.
15. Rzepecki, B.: "On fixed point theorems of Maia type, Publications", De L'institut Mathématique, 28:179-186 (1980).
16. Turkoglu, D., Abuloha, M., "Cone Metric Spaces and Fixed Point Theorems in Diametrically Contractive Mappings", Acta Mathematica Sinica, English Series, 26(3):489-496 (2010).
17. Turkoglu, D., Abuloha, M., Abdeljawad, T. "KKM mappings in cone metric spaces and some fixed point theorems", Nonlinear Anal.,72(1):348-353 (2010). doi:10.1016.na.2009.6.58.