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A fixed point theorem for small divisor problems

✍ Scribed by Alistair Gray


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
913 KB
Volume
18
Category
Article
ISSN
0022-0396

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The classic Banach Contraction Principle states that any contraction on a complete metric space has a unique fixed point. Rather than requiring that a single operator be a contraction, we consider a minimum involving a set of powers of that operator and derive fixed-point results. Ordinary analytica