Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces

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 contin...

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Autores principales:	Chauhan,Sunny, Pant,B. D, Imdad,Mohammad
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:	t-norm ompatible mappings re ipro al ontinuity sub ompatible mappings subsequential ontinuity
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300004
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spelling	oai:scielo:S0719-064620130003000042018-10-08Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spacesChauhan,SunnyPant,B. DImdad,Mohammad t-norm ompatible mappings re ipro al ontinuity sub ompatible mappings subsequential ontinuity 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.3 20132013-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300004en10.4067/S0719-06462013000300004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	t-norm ompatible mappings re ipro al ontinuity sub ompatible mappings subsequential ontinuity
spellingShingle	t-norm ompatible mappings re ipro al ontinuity sub ompatible mappings subsequential ontinuity Chauhan,Sunny Pant,B. D Imdad,Mohammad Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
description	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.
author	Chauhan,Sunny Pant,B. D Imdad,Mohammad
author_facet	Chauhan,Sunny Pant,B. D Imdad,Mohammad
author_sort	Chauhan,Sunny
title	Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
title_short	Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
title_full	Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
title_fullStr	Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
title_full_unstemmed	Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
title_sort	coincidence and common fixed point theorems in non-archimedean menger pm-spaces
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300004
work_keys_str_mv	AT chauhansunny coincidenceandcommonfixedpointtheoremsinnonarchimedeanmengerpmspaces AT pantbd coincidenceandcommonfixedpointtheoremsinnonarchimedeanmengerpmspaces AT imdadmohammad coincidenceandcommonfixedpointtheoremsinnonarchimedeanmengerpmspaces
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Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces

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