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# Erratum to ‘Common fixed point theorems for expansion mappings in various abstract spaces using concept of weak reciprocal continuity’

*Fixed Point Theory and Applications*
**volume 2013**, Article number: 8 (2013)

On critical examination of the results given in our paper [1], we notice one crucial error. We need to carry out the following correction.

Example 1 given in paper [1] is wrong as g(X)\not\subset f(X) because f(X)=\{2,6\} and g(X)=[2,20]. So, Example 1 in paper [1] is replaced by the following example.

**Example 1** Let (X,G) be a *G*-metric space, where X=[0,1] and

for all x,y,z\in X.

Define f,g:X\to X by f(x)=\frac{x}{2} and g(x)=\frac{x}{6} for all x\in X.

Then, clearly, g(X)\subset f(X)as f(X)=[0,\frac{1}{2}] and g(X)=[0,\frac{1}{6}].

Moreover,

for 1<q\le 3 and hence, the condition (2.2) of Theorem 2 is satisfied. Also, *f* and *g* are two weakly reciprocally continuous self-maps by taking the sequence \{{x}_{n}=\frac{1}{n}\}. However, the maps are compatible. Thus, all the conditions of Theorem 2 are satisfied and x=0 is the unique common fixed point of *f* and *g*.

## References

Manro S, Kumam P: Common fixed point theorems for expansion mappings in various abstract spaces using the concept of weak reciprocal continuity.

*Fixed Point Theory Appl.*2012., 2012: Article ID 221. doi:10.1186/1687–1812–2012–221

## Acknowledgements

The authors are grateful to Prof. Ravindra K. Bisht for pointing out some of these errors.

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Manro, S., Kumam, P. Erratum to ‘Common fixed point theorems for expansion mappings in various abstract spaces using concept of weak reciprocal continuity’.
*Fixed Point Theory Appl* **2013**, 8 (2013). https://doi.org/10.1186/1687-1812-2013-8

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DOI: https://doi.org/10.1186/1687-1812-2013-8