Cantitate/Preț
Produs

Classification of Lipschitz Mappings: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Autor Torrey M. Gallagher, Víctor Pérez-García, Łukasz Piasecki
en Limba Engleză Hardback – 6 mar 2025
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 k∞(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 problems3
Citește tot Restrânge

Din seria Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Preț: 87708 lei

Preț vechi: 117981 lei
-26% Nou

Puncte Express: 1316

Preț estimativ în valută:
16787 17449$ 13906£

Carte nepublicată încă

Doresc să fiu notificat când acest titlu va fi disponibil:

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781032605593
ISBN-10: 1032605596
Pagini: 296
Ilustrații: 80
Dimensiuni: 156 x 234 mm
Ediția:2
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Monographs and Research Notes in Mathematics


Public țintă

Academic, Postgraduate, and Undergraduate Advanced

Cuprins

1. Basic facts about Banach spaces. 2. Mean Lipschitzian Mappings. 3. On the Lipschitz constants for iterates of mean lipschitzian mappings. 4. Some applications. 5. Nonexpansive mappings in Banach spaces. 6. Fixed point property for mean nonexpansive mappings. 7. Mean lipschitzian mappings with k > 1. 

Notă biografică

Torrey M. Gallagher is an Assistant Professor of Mathematics at Monmouth University (New Jersey, USA). His research interests include metric fixed point theory, Banach space geometry, and functional analysis. 

Víctor Pérez-García is a full time professor at Faculty of Mathematics, University of Veracruz, Mexico. Areas of interest: Functional Analysis, Discrete Mathematics.

Łukasz Piasecki is an Associate Professor at the Institute of Mathematics at Maria Curie-Sk lodowska University (Lublin, Poland). His research interests include metric fixed point theory and Banach space theory.

Descriere

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.