• Erratum
• Open Access

# Erratum to "Some common fixed point theorems in Menger PM spaces"

Fixed Point Theory and Applications20112011:28

https://doi.org/10.1186/1687-1812-2011-28

• Accepted: 10 August 2011
• Published:

The original article was published in Fixed Point Theory and Applications 2010 2010:819269

On critical examination of the results given in our paper [1], we notice some minor errors except a crucial one. In all, we need to carry out the following corrections:

1. Following condition must be added to statement of Lemma 3.1 and Theorem 3.3. (*) B(y n ) converges for every sequence {y n } in X whenever T(y n ) converges (or A(x n ) converges for every sequence {x n } in X whenever S(x n ) converges).

2. Theorem 3.13 follows in view of Example 2.2 and Theorem 3.5, and henceforth an independent proof is not required as given in [1].

3. Remarks 3.6 and 3.10 are not relevant to the results as claimed in respective remarks and hence stand deleted.

4. The following typing errors are noticed in Examples 3.16 and 3.17:

(i) 'In Examples 3.16 and 3.17 "a, b [0, 2)" should be "a, b [0, 1]",

(ii) in Example 3.16. 'A(X) = {1} {1, 2/3} = S(X)" should be "A(X) = {1} {1, 1/3} = T (X)",

(iii) in Example 3.17 "A(X) = {1, 3/4} {1, 2/3} = S(X)" should be "A(X) = {1, 3/4} {1, 1/3} = T(X)" and

(iv) in Example 3.17 "B(X) = {1, 1/2} {1, 1/3} = T(X)" should be "B(X) = {1, 1/2} {1, 2/3} = S(X)".

## Declarations

### Acknowledgements

All the authors are grateful to Prof. Dorel Mihet for pointing out some of these errors.

## Authors’ Affiliations

(1)
Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India
(2)
School of Computer & Systems Sciences, Jawaharlal Nehru University, New Delhi, 110 067, India
(3)
Department of Applied Mathematics, Aligarh Muslim University, Aligarh, 202 002, India

## References

1. Imdad M, Tanveer M, Hasan M: Some common fixed point theorems in Menger PM spaces. Fixed Point Theory Appl 2010, 14. Art. ID 819269Google Scholar