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Banach fixed-point theorem
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==References== *{{cite book |first1=Praveen |last1=Agarwal |first2=Mohamed |last2=Jleli |first3=Bessem |last3=Samet |chapter=Banach Contraction Principle and Applications |title=Fixed Point Theory in Metric Spaces |publisher=Springer |location=Singapore |year=2018 |isbn=978-981-13-2912-8 |pages=1–23 |doi=10.1007/978-981-13-2913-5_1 }} *{{cite book |first=Carmen |last=Chicone |title=Ordinary Differential Equations with Applications |location=New York |publisher=Springer |edition=2nd |year=2006 |isbn=0-387-30769-9 |chapter=Contraction |chapter-url=https://books.google.com/books?id=yfY2uGROVrUC&pg=PA121 |pages=121–135 }} *{{cite book |first1=Andrzej |last1=Granas |first2=James |last2=Dugundji |author-link2=James Dugundji |title=Fixed Point Theory |year=2003 |publisher=Springer-Verlag |location=New York |isbn=0-387-00173-5 }} *{{cite book |first=Vasile I. |last=Istrăţescu |title=Fixed Point Theory: An Introduction |publisher=D. Reidel |location=The Netherlands |year=1981 |isbn=90-277-1224-7 }} See chapter 7. *{{cite book |last1=Kirk |first1=William A. |last2=Khamsi |first2=Mohamed A. |title=An Introduction to Metric Spaces and Fixed Point Theory |year=2001 |publisher=John Wiley |location=New York |isbn=0-471-41825-0 }} {{PlanetMath attribution |urlname=banachfixedpointtheorem |title=Banach fixed point theorem }} {{Metric spaces}} {{Topology}} {{DEFAULTSORT:Banach Fixed-Point Theorem}} [[Category:Articles containing proofs]] [[Category:Eponymous theorems of mathematics]] [[Category:Fixed-point theorems]] [[Category:Metric geometry]] [[Category:Topology]]
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