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Article

Fečkan, Michal
Small functions and iterative methods. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 589-595
MSC: 47A50, 47H10, 47H17, 47H99, 47J25 | MR 1240179 | Zbl 0790.47034
Keywords:
small functions; iterative methods
Summary:
Iterative methods based on small functions are used both to show local surjectivity of certain operators and a fixed point property of mappings on scales of complete metric spaces.
References:
[1] Pták V.: Nondiscrete mathematical induction and iterative existence proofs. Linear Algebra & Appl. 13 223-238 (1976). MR 0394119
[2] Zehnder E.: An implicit function theorem for small divisor problems. Bull. Amer. Math. Soc. 80 174-179 (1974). MR 0339259 | Zbl 0281.35002
[3] Petzeltová H., Vrbová P.: A remark on small divisors problems. Czech. Math. J. 28 (103) 1-12 (1978). MR 0482803
[4] Korec I.: On a problem of V. Pták. Časopis pro pěstování matematiky 103 365-379 (1978). MR 0512233 | Zbl 0429.26001
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