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  • Erratum
  • Open Access

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

  • 1Email author,
  • 2 and
  • 3
Fixed Point Theory and Applications20132013:127

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

  • Received: 9 April 2013
  • Accepted: 29 April 2013
  • Published:

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, Aligarh, 202002, India
(2)
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
(3)
Department of Mathematics, Texas A&M University-Kingsville, Kingsville, 78363, USA

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

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