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Approximate Fixed Points of Nonexpansive Mappings

Approximate Fixed Points of Nonexpansive Mappings

Hardcover

Series: Developments in Mathematics, Book 80

General Mathematics

ISBN10: 3031707095
ISBN13: 9783031707094
Publisher: Springer
Published: Sep 26 2024
Pages: 526
Weight: 2.05
Height: 1.19 Width: 6.14 Depth: 9.21
Language: English

Fixed point theory of nonlinear operators has been a rapidly growing area of research and plays an important role in the study of variational inequalities, monotone operators, feasibility problems, and optimization theory, to name just several. This book discusses iteration processes associated with a given nonlinear mapping which generate its approximate fixed point and in some cases converge to a fixed point of the mapping. Various classes of nonlinear single-valued and set-valued mappings are considered along with iteration processes under the presence of computational errors. Of particular interest to mathematicians working in fixed point theory and nonlinear analysis, the added value for the reader are the solutions presented to a number of difficult problems in the fixed point theory which have important applications.

Also from

Zaslavski, Alexander J.

Also in

General Mathematics