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Publication
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Title of Article |
Banach's fixed point theorem, Ćirić's and Kannan's are equivalent via redefining the metric |
Date of Acceptance |
2 July 2020 |
Journal |
Title of Journal |
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas |
Standard |
ISI |
Institute of Journal |
Springer |
ISBN/ISSN |
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Volume |
114 |
Issue |
4 |
Month |
October |
Year of Publication |
2020 |
Page |
8 pp |
Abstract |
In the literature, the three fixed point theorems due to Banach, Kannan, and Ćirić were proved independently. In this paper, we show that these three theorems are equivalent in the sense that any two of them can be deduced from the third one. Using the same technique, we show that two fixed point theorems proposed by Bessenyei can be deduced from Banach’s and Matkowski’s results. |
Keyword |
Banach’s fixed point theorem, Ćirić’s fixed point theorem, Kannan’s fixed point theorem, metric space |
Author |
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Reviewing Status |
มีผู้ประเมินอิสระ |
Status |
ตีพิมพ์แล้ว |
Level of Publication |
นานาชาติ |
citation |
true |
Part of thesis |
true |
Attach file |
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Citation |
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