Discussion on "multidimensional Coincidence Points" Via Recent Publications

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2014

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Hindawi Ltd

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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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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Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328; Alsulami, Hamed Hamdan/0000-0001-5188-2830; KARAPINAR, ERDAL/0000-0002-6798-3254
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Roldán López de Hierro, Antonio Francisco ORCID logo
Alsulami, Hamed Hamdan ORCID logo
KARAPINAR, ERDAL ORCID logo

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https://doi.org/10.1155/2014/287492
 https://hdl.handle.net/20.500.14411/124

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