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The Krasnosel'ski -Mann Method for Common Fixed Point Problems

Name: The Krasnosel'ski -Mann Method for Common Fixed Point Problems
Brand: Springer, Berlin
SKU: 9783031858406
Price: 1147 CZK
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Autor: Alexander J. Zaslavski

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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This book delves into the intricate world of fixed point theory, focusing on the Krasnoselskii-Mann...

Informace o knize

Autor

Alexander J. Zaslavski

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2025

Stránek

110

EAN

9783031858406

Enbook ID

47701697

Vydavatel

Springer, Berlin

Hmotnost

236

Rozměry

155 x 235

Kompletní popis

This book delves into the intricate world of fixed point theory, focusing on the Krasnoselskii-Mann method to tackle common fixed point problems within a finite family of quasi-nonexpansive mappings in hyperbolic metric spaces. By exploring various iterative algorithms, including the Cimmino algorithm and dynamic string-averaging methods, this volume offers a comprehensive study of convergence and approximate solutions amidst computational errors.

Key concepts such as W-hyperbolic spaces, convex combinations, and set-valued inclusions are meticulously examined. The author presents a detailed analysis of iterative methods, highlighting their effectiveness in solving complex fixed-point problems. Readers will encounter critical discussions on the behavior of exact and inexact iterates, the role of computational errors, and innovative approaches like remotest set control. This book invites readers to engage with challenging questions about convergence and solution accuracy in mathematical spaces.

Ideal for researchers and scholars in mathematics and related fields, this book provides valuable insights into advanced iterative methods for solving fixed-point problems. Whether you are a mathematician specializing in nonlinear analysis or an academic exploring optimization theory, this volume is an essential resource for understanding the latest developments in fixed point theory.

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The Krasnosel'ski -Mann Method for Common Fixed Point Problems

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