Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
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Sunny Chauhan
sun.gkv@gmail.com
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B. D. Pant
badridatt.pant@gmail.com
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Mohammad Imdad
mhimdad@yahoo.co.in
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DOI:
https://doi.org/10.4067/S0719-06462013000300004Abstract
The object of this work is to point out a fallacy in the proof of Theorem 1 contained in the recent paper of Khan et al. [Jordan J. Math. Stat. (JJMS) 5(2) (2012), 137-150] proved in Non-Archimedean Menger PM-space by using the notions of sub-compatibility and sub-sequential continuity. We show that the results of Khan et al. [Jordan J. Math. Stat. (JJMS) 5(2) (2012), 137-150] can be recovered in two ways. Further, we establish some illustrative examples to show the validity of the main results. Our results improve a multitude of relevant fixed point theorems of the existing literature.
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Published
2013-10-01
How to Cite
[1]
S. Chauhan, B. D. Pant, and M. Imdad, “Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces”, CUBO, vol. 15, no. 3, pp. 31–44, Oct. 2013.
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