Classification of Lipschitz mappings / Łukasz Piasecki
- Author
- Piasecki, Łukasz
- Published
- Boca Raton : CRC, [2014]
- Physical Description
- x, 224 pages : illustrations (black and white) ; 25 cm.
- Series
- Contents
- Machine generated contents note: 1.1.Nonlinear spectral radius -- 1.2.Uniformly lipschitzian mappings -- 2.1.Convexity -- 2.2.The operator norm -- 2.3.Dual spaces, reflexivity, the weak, and weak* topologies -- 3.1.Nonexpansive and mean nonexpansive mappings in Banach spaces -- 3.2.General case -- 4.1.A bound for Lipschitz constants of iterates -- 4.2.A bound for the constant kinfinity(T) -- 4.3.Moving averages in Banach spaces -- 4.4.A bound for the constant k0(T) -- 4.5.More about k(Tn), k0(T), and kinfinty(T) -- 5.1.Basic definitions and observations -- 5.2.A bound for k(Tn), kinfinity(T), and k0(T) -- 5.3.On the moving p-averages -- 6.1.Classical Banach's contractions -- 6.2.On characterizations of contractions -- 6.3.On the rate of convergence of iterates -- 7.1.The asymptotic center technique -- 7.2.Minimal invariant sets and normal structure -- 7.3.Uniformly nonsquare, uniformly noncreasy, and reflexive Banach spaces -- 7.4.Remarks on the stability of f.p.p. -- 7.5.The case of l1 -- 8.1.Some new results of stability type -- 8.2.Sequential approximation of fixed points -- 8.3.The case of n = 3 -- 8.4.On the structure of the fixed points set -- 9.1.Losing compactness in Brouwer's Fixed Point Theorem -- 9.2.Retracting onto balls in Banach spaces -- 9.3.Minimal displacement -- 9.4.Optimal retractions -- 9.5.Generalized characteristics of minimal displacement.
- Subject(s)
- ISBN
- 9781466595217 (hbk.)
1466595213 (hbk.) - Bibliography Note
- Includes bibliographical references and index.
- Terms of Use and Reproduction
- British Library not licensed to copy 0.
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