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.
@article{1296,
title = {Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces},
journal = {CUBO, A Mathematical Journal},
volume = {15},
year = {2013},
language = {en},
url = {http://dml.mathdoc.fr/item/1296}
}
Chauhan, Sunny; Pant, B. D.; Imdad, Mohammad. Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces. CUBO, A Mathematical Journal, Tome 15 (2013) 14 p. http://gdmltest.u-ga.fr/item/1296/