TR
EN
COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES
Abstract
Recently, E. Karapınar (Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory Applications, Article ID 609281, 9 pages, 2009) presented some fixed point theorems for self-mappings satisfying certain contraction principles on a cone Banach space. Here we will give some generalizations of this theorem.
Keywords
References
- Abdeljawad, T. Completion of cone metric spaces, Hacettepe J. Math. Stat. 39 (1), 67–74, 2010.
- Abdeljawad, T. and Karapınar, E. Quasi-cone metric spaces and generalizations of Caristi Kirk’s theorem, Fixed Point Theory Appl., 2009, doi:10.1155/2009/574387.
- Abdeljawad, T. and Karapınar, E. A common fixed point theorem of a Gregus type on convex cone metric spaces, J. Comput. Anal. Appl. 13 (4), 609–621, 2011.
- Deimling, K. Nonlinear Functional Analysis (Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1985).
- Huang, L. -G. and Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1468–1476, 2007.
- Jungck, G. and Rhoades, B. E. Fixed point for set valued functions without continuity, Indian J. Pure and Appl. Math. 29 (3), 227–238, 1998.
- Karapınar, E. Fixed point theorems in cone Banach spaces, Fixed Point Theory Appl. 2009 Article ID 609281, 9 pages, 2009, doi:10.1155/2009/609281
- Karapınar, E. Some fixed point theorems on the cone Banach spaces, Proc. 7 ISAAC Con- gress, World Scientific, 606–612, 2010.
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
February 1, 2011
Submission Date
May 12, 2014
Acceptance Date
-
Published in Issue
Year 2011 Volume: 40 Number: 2
APA
Abdeljawad, T., Karapınar, E., & Taş, kenan. (2011). COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics, 40(2), 211-217. https://izlik.org/JA79LE34LX
AMA
1.Abdeljawad T, Karapınar E, Taş kenan. COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics. 2011;40(2):211-217. https://izlik.org/JA79LE34LX
Chicago
Abdeljawad, Thabet, Erdal Karapınar, and kenan Taş. 2011. “COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES”. Hacettepe Journal of Mathematics and Statistics 40 (2): 211-17. https://izlik.org/JA79LE34LX.
EndNote
Abdeljawad T, Karapınar E, Taş kenan (February 1, 2011) COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics 40 2 211–217.
IEEE
[1]T. Abdeljawad, E. Karapınar, and kenanTaş, “COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, pp. 211–217, Feb. 2011, [Online]. Available: https://izlik.org/JA79LE34LX
ISNAD
Abdeljawad, Thabet - Karapınar, Erdal - Taş, kenan. “COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES”. Hacettepe Journal of Mathematics and Statistics 40/2 (February 1, 2011): 211-217. https://izlik.org/JA79LE34LX.
JAMA
1.Abdeljawad T, Karapınar E, Taş kenan. COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics. 2011;40:211–217.
MLA
Abdeljawad, Thabet, et al. “COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, Feb. 2011, pp. 211-7, https://izlik.org/JA79LE34LX.
Vancouver
1.Thabet Abdeljawad, Erdal Karapınar, kenan Taş. COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES. Hacettepe Journal of Mathematics and Statistics [Internet]. 2011 Feb. 1;40(2):211-7. Available from: https://izlik.org/JA79LE34LX