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Fixed points of nonlinear operators. Iterative methods. (English) Zbl 1440.47001

De Gruyter STEM. Berlin: De Gruyter; National Defense Industry Press (ISBN 978-3-11-066397-6/pbk; 978-3-11-066709-7/ebook). x, 368 p. (2020).
From the publisher’s description: The book offers an introduction into iterative methods for fixed points of nonexpansive mappings, pseudo-contrations in Hilbert spaces and in Banach spaces. Iterative methods for zeros of accretive mappings in Banach spaces and monotone mappings in Hilbert spaces are also discussed. It is aimed at mathematicians and graduate students in nonlinear analysis.

MSC:

47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory
47J26 Fixed-point iterations
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H05 Monotone operators and generalizations
47H06 Nonlinear accretive operators, dissipative operators, etc.
47J25 Iterative procedures involving nonlinear operators
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