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2014 | OriginalPaper | Buchkapitel

Implicit Contractive Maps in Ordered Metric Spaces

verfasst von : Mihai Turinici

Erschienen in: Topics in Mathematical Analysis and Applications

Verlag: Springer International Publishing

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Abstract

In Part 1, we show that most of the implicit contractions introduced by Wardowski [Fixed Point Theory Appl., 2012, 2012:94] are Matkowski type contractions. In Part 2, some limit type extensions are obtained for the fixed point result (involving implicit contractions) due to Altun and Simsek [Fixed Point Theory Appl., Volume 2010, Article ID 621469]. Moreover, the connections with a lot of related statements in the area due to Agarwal, El-Gebeily, and O’Regan [Appl. Anal. 87:109–116, 2008] are also discussed. Finally, in Part 3, a non-limit counterpart of these results is given, under the same general context.

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Vorheriges Kapitel On the Energy of Graphs

Nächstes Kapitel Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam Spaces

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Titel: Implicit Contractive Maps in Ordered Metric Spaces
verfasst von: Mihai Turinici
Verlag: Springer International Publishing
Buch: Topics in Mathematical Analysis and Applications
Print ISBN: 978-3-319-06553-3

Electronic ISBN: 978-3-319-06554-0

Copyright-Jahr: 2014
DOI: https://doi.org/10.1007/978-3-319-06554-0_32

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