Classification of Lipschitz Mappings
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A01=Lukasz Piasecki
Author_Lukasz Piasecki
banach
Banach Space
Banach’s Contraction Mapping Principle
Bounded Sequence
Category=PBK
Closed Unit Ball
complete
Complete Metric Space
condition
constants
Convex Set
Convex Subset
eq_isMigrated=1
eq_nobargain
Equivalent Metric
Finite Dimensional Banach Space
fixed
Fixed Point
Fixed Point Property
Fixed Point Theorems
Fixed Point Theory
Hilbert Space
Infinite Dimensional Banach Space
Iterates Tn
Lipschitz Condition
Lipschitz Constant
lipschitzian
Lipschitzian Mapping
Mapping Tα
metric
Metric Space
nonexpansive
Nonexpansive Mappings
point
Reflexive Banach Space
space
Weakly Compact
Y ∈M
Product details
- ISBN 9781466595217
- Weight: 476g
- Dimensions: 156 x 234mm
- Publication Date: 12 Dec 2013
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point theory, differential equations, and dynamical systems, the book only requires a basic background in functional analysis and topology.
The author focuses on a more precise classification of Lipschitzian mappings. The mean Lipschitz condition introduced by Goebel, Japón Pineda, and Sims is relatively easy to check and turns out to satisfy several principles:
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- Regulating the possible growth of the sequence of Lipschitz constants k(Tn)
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- Ensuring good estimates for k0(T) and k∞(T)
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- Providing some new results in metric fixed point theory
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Piasecki, Łukasz
