Discussion on %26quot;Multidimensional Coincidence Points%26quot; via Recent Publications

作者:Al Mezel Saleh A; Alsulami Hamed H; Karapinar Erdal*; Lopez de Hierro Antonio Francisco Roldan
来源:Abstract and Applied Analysis, 2014, 2014: 287492.
DOI:10.1155/2014/287492

摘要

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.

  • 出版日期2014