Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
Author
Chauhan, Sunny
Pant, B. D.
Imdad, Mohammad
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/129610.4067/S0719-06462013000300004
Abstract
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.