ENGLISH

Approximate Fixed Points of Nonexpansive Mappings

Book information

Publisher
Springer
Year
2024
ISBN
3031707095, 9783031707094
Language
english
Format
PDF
Filesize
4 MB (4145622 bytes)
Series
Developments in Mathematics; 80
Pages
539\535
Time added
2024-12-01 16:02:47

Description

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.

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