Open Access
2014 Discussion on “Multidimensional Coincidence Points” via Recent Publications
Saleh A. Al-Mezel, Hamed H. Alsulami, Erdal Karapınar, Antonio-Francisco Roldán López-de-Hierro
Abstr. Appl. Anal. 2014(SI71): 1-13 (2014). DOI: 10.1155/2014/287492


We show that some definitions of multidimensional coincidence points are not compatible with the mixed monotone property. Thus, some theorems reported in the recent publications (Dalal et al., 2014 and Imdad et al., 2013) have gaps. We clarify these gaps and we present a new theorem to correct the mentioned results. Furthermore, we show how multidimensional results can be seen as simple consequences of our unidimensional coincidence point theorem.


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Saleh A. Al-Mezel. Hamed H. Alsulami. Erdal Karapınar. Antonio-Francisco Roldán López-de-Hierro. "Discussion on “Multidimensional Coincidence Points” via Recent Publications." Abstr. Appl. Anal. 2014 (SI71) 1 - 13, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022096
MathSciNet: MR3208526
Digital Object Identifier: 10.1155/2014/287492

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI71 • 2014
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