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Classification of Lipschitz Mappings
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Classification of Lipschitz Mappings

Book Details

Format Hardback or Cased Book
ISBN-10 1032605596
ISBN-13 9781032605593
Publisher Taylor & Francis Ltd
Imprint Chapman & Hall/CRC
Country of Manufacture GB
Country of Publication GB
Publication Date Mar 6th, 2025
Print length 279 Pages
Weight 690 grams
Ksh 31,500.00
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This book presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its applications, particularly to metric fixed point theory. Suitable for readers interested in nonlinear analysis, metric fixed point theory, differential equations, ergodic theory, and dynamical systems.

Classification of Lipschitz Mappings, Second Edition presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its applications, particularly to metric fixed point theory. Suitable for readers interested in nonlinear analysis, metric fixed point theory, differential equations, ergodic theory, and dynamical systems, the book requires only a basic background in functional analysis and topology, and should therefore be accessible to graduate students or advanced undergraduates, as well as to professionals looking for new topics in metric fixed point theory. 

In particular, the second edition contains results related to:

  • Regulating the growth of the sequence of Lipschitz constants k(Tn)
  • Ensuring good estimates for k0(T) and k8(T)
  • Studying moving harmonic and geometric averages as well as generalized Fibonacci-type sequences and their application to provide a new algorithm for solving polynomials in the real case and in Banach algebras
  • Classifying mean isometries and mean contractions
  • Generalizing Browder’s famous Demiclosedness Principle
  • Providing some new results in metric fixed point theory
  • Minimal displacement and optimal retraction problems

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