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

Year 2011, Volume: 24 Issue: 2, 233 - 234, 05.04.2011

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.  

References

  • Wei-Shih, Du, “A note on cone metric fixed point theory and its equivalence”, Nonlinear Analysis, 72(5): 2259-2261 (2010).
  • Huang, L. G., Zhang, X., “Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl., 332 :1468–-1476 (2007).
  • Kadelburg, Z., Radenović, S., Rakoćević, V.,: “Remarks on quasi-contraction on a cone metric space", Appl. Math. Lett., 22: 1674–1679 (2009).
  • 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).
  • Rezapour, Sh., Haghi, R.H., Shahzad, N., “Some Notes on fixed points of quasicontraction maps”, Appl. Math. Lett., 23: 498--502(2010).
  • 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).
  • 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.

A Gap in the Paper "A Note on Cone Metric Fixed Point

Year 2011, Volume: 24 Issue: 2, 233 - 234, 05.04.2011

Abstract

References

  • Wei-Shih, Du, “A note on cone metric fixed point theory and its equivalence”, Nonlinear Analysis, 72(5): 2259-2261 (2010).
  • Huang, L. G., Zhang, X., “Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl., 332 :1468–-1476 (2007).
  • Kadelburg, Z., Radenović, S., Rakoćević, V.,: “Remarks on quasi-contraction on a cone metric space", Appl. Math. Lett., 22: 1674–1679 (2009).
  • 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).
  • Rezapour, Sh., Haghi, R.H., Shahzad, N., “Some Notes on fixed points of quasicontraction maps”, Appl. Math. Lett., 23: 498--502(2010).
  • 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).
  • 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.
There are 7 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Mathematics
Authors

Erdal Karapınar

Thabet Abdeljawad This is me

Publication Date April 5, 2011
Published in Issue Year 2011 Volume: 24 Issue: 2

Cite

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.
AMA 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. April 2011;24(2):233-234.
Chicago 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 24, no. 2 (April 2011): 233-34.
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 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, 2011.
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 2011), 233-234.
JAMA 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, 2011, pp. 233-4.
Vancouver 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):233-4.