Research Article

A Gap in the Paper "A Note on Cone Metric Fixed Point Theory and its Equivalence"

Volume: 24 Number: 2 April 5, 2011
EN TR

A Gap in the Paper "A Note on Cone Metric Fixed Point Theory and its Equivalence"

Abstract

There is a gap in Theorem 2.2 of the paper of Du [1]. In this paper, we shall state the gap and repair it.  

Keywords

References

  1. Wei-Shih, Du, “A note on cone metric fixed point theory and its equivalence”, Nonlinear Analysis, 72(5): 2259-2261 (2010).
  2. Huang, L. G., Zhang, X., “Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl., 332 :1468–-1476 (2007).
  3. Kadelburg, Z., Radenović, S., Rakoćević, V.,: “Remarks on quasi-contraction on a cone metric space", Appl. Math. Lett., 22: 1674–1679 (2009).
  4. Rezapour, Sh., Hamlbarani, R., “Some notes on the paper Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl., 345: 719–-724(2008).
  5. Rezapour, Sh., Haghi, R.H., Shahzad, N., “Some Notes on fixed points of quasicontraction maps”, Appl. Math. Lett., 23: 498--502(2010).
  6. Rezapour, Sh., Khandani, H., Vaezpour, S.M., “Efficacy of Cones on Topological Vector Spaces and Application to Common Fixed Points of Multifunctions”, Rend. Circ. Mat. Palermo, 59 :185–197(2010).
  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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Thabet Abdeljawad This is me

Publication Date

April 5, 2011

Submission Date

September 16, 2010

Acceptance Date

-

Published in Issue

Year 2011 Volume: 24 Number: 2

APA
Karapınar, E., & Abdeljawad, T. (2011). A Gap in the Paper "A Note on Cone Metric Fixed Point Theory and its Equivalence". Gazi University Journal of Science, 24(2), 233-234. https://izlik.org/JA23GC46NE
AMA
1.Karapınar E, Abdeljawad T. A Gap in the Paper "A Note on Cone Metric Fixed Point Theory and its Equivalence". Gazi University Journal of Science. 2011;24(2):233-234. https://izlik.org/JA23GC46NE
Chicago
Karapınar, Erdal, and Thabet Abdeljawad. 2011. “A Gap in the Paper ‘A Note on Cone Metric Fixed Point Theory and Its Equivalence’”. Gazi University Journal of Science 24 (2): 233-34. https://izlik.org/JA23GC46NE.
EndNote
Karapınar E, Abdeljawad T (April 1, 2011) A Gap in the Paper "A Note on Cone Metric Fixed Point Theory and its Equivalence". Gazi University Journal of Science 24 2 233–234.
IEEE
[1]E. Karapınar and T. Abdeljawad, “A Gap in the Paper ‘A Note on Cone Metric Fixed Point Theory and its Equivalence’”, Gazi University Journal of Science, vol. 24, no. 2, pp. 233–234, Apr. 2011, [Online]. Available: https://izlik.org/JA23GC46NE
ISNAD
Karapınar, Erdal - Abdeljawad, Thabet. “A Gap in the Paper ‘A Note on Cone Metric Fixed Point Theory and Its Equivalence’”. Gazi University Journal of Science 24/2 (April 1, 2011): 233-234. https://izlik.org/JA23GC46NE.
JAMA
1.Karapınar E, Abdeljawad T. A Gap in the Paper "A Note on Cone Metric Fixed Point Theory and its Equivalence". Gazi University Journal of Science. 2011;24:233–234.
MLA
Karapınar, Erdal, and Thabet Abdeljawad. “A Gap in the Paper ‘A Note on Cone Metric Fixed Point Theory and Its Equivalence’”. Gazi University Journal of Science, vol. 24, no. 2, Apr. 2011, pp. 233-4, https://izlik.org/JA23GC46NE.
Vancouver
1.Erdal Karapınar, Thabet Abdeljawad. A Gap in the Paper "A Note on Cone Metric Fixed Point Theory and its Equivalence". Gazi University Journal of Science [Internet]. 2011 Apr. 1;24(2):233-4. Available from: https://izlik.org/JA23GC46NE