Erratum to ‘Common fixed point theorems for expansion mappings in various abstract spaces using concept of weak reciprocal continuity’
© Manro and Kumam; licensee Springer 2013
Received: 18 December 2012
Accepted: 22 December 2012
Published: 9 January 2013
On critical examination of the results given in our paper , we notice one crucial error. We need to carry out the following correction.
for all .
Define by and for all .
Then, clearly, as and .
for 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 . However, the maps are compatible. Thus, all the conditions of Theorem 2 are satisfied and is the unique common fixed point of f and g.
The authors are grateful to Prof. Ravindra K. Bisht for pointing out some of these errors.
- 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:10.1186/1687–1812–2012–221Google Scholar
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