Open Access

Erratum to ‘Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces’

  • Mohammad Mursaleen1Email author,
  • Syed Abdul Mohiuddine2 and
  • Ravi P Agarwal3
Fixed Point Theory and Applications20132013:127

https://doi.org/10.1186/1687-1812-2013-127

Received: 9 April 2013

Accepted: 29 April 2013

Published: 15 May 2013

The original article was published in Fixed Point Theory and Applications 2012 2012:228

Abstract

In this note we present some corrections on our previous paper (Fixed Point Theory Appl. 2012:228, 2012).

In the paper [1], the following corrections are required on pages 3 and 6.

Inequality (3.1) in Theorem 3.4 on page 3 and the same inequality in Theorem 3.5 on page 6 should read as follows:
α ( ( x , y ) , ( u , v ) ) d ( F ( x , y ) , F ( u , v ) ) + d ( F ( y , x ) , F ( v , u ) ) 2 ψ ( d ( x , u ) + d ( y , v ) 2 ) .

The corresponding changes in the proofs of these theorems will lead to the conclusions easily. Moreover, we can easily choose suitable F ( x , y ) in Examples 3.7 and 3.8 to meet our requirements.

Notes

Declarations

Authors’ Affiliations

(1)
Department of Mathematics, Aligarh Muslim University
(2)
Department of Mathematics, Faculty of Science, King Abdulaziz University
(3)
Department of Mathematics, Texas A&M University-Kingsville

References

  1. Mursaleen M, Mohiuddine SA, Agarwal RP: Coupled fixed point theorems for α - ψ -contractive type mappings in partially ordered metric spaces. Fixed Point Theory Appl. 2012., 2012: Article ID 228Google Scholar

Copyright

© Mursaleen et al.; licensee Springer 2013

This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.