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Cubo (Temuco)
versión On-line ISSN 0719-0646
Resumen
CHAUHAN, Sunny; PANT, B. D y IMDAD, Mohammad. Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces. Cubo [online]. 2013, vol.15, n.3, pp.31-44. ISSN 0719-0646. http://dx.doi.org/10.4067/S0719-06462013000300004.
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] an 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.
Palabras clave : t-norm; ompatible mappings; re ipro al ontinuity; sub ompatible mappings; subsequential ontinuity.