Research Article

COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES

Volume: 40 Number: 2 February 1, 2011
  • Thabet Abdeljawad
  • Erdal Karapınar
  •  kenan Taş
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

  1. Abdeljawad, T. Completion of cone metric spaces, Hacettepe J. Math. Stat. 39 (1), 67–74, 2010.
  2. 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.
  3. 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.
  4. Deimling, K. Nonlinear Functional Analysis (Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1985).
  5. Huang, L. -G. and Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1468–1476, 2007.
  6. 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.
  7. 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
  8. 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

Authors

Thabet Abdeljawad This is me

Erdal Karapınar This is me

 kenan Taş This is me

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