Fixed Point Optimization Algorithms and Their Applications

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ISBN: 9780443335860
Author : Watcharaporn Cholamjiak
Published: 2024
Publisher: Morgan Kaufmann
Language: English
Format: Paperback / softback
Format: 9.25×7.5

Description

<i>Fixed Point Optimization Algorithms and Their Applications</i> discusses how the relationship between fixed point algorithms and optimization problems is connected and demonstrates hands-on applications of the algorithms in fields such as image restoration, signal recovery, and machine learning. The author presents algorithms for non-expansive and generalized non-expansive mappings in Hilbert space, and includes solutions to many optimization problems across a range of scientific research and real-world applications. From foundational concepts, the book proceeds to present a variety of optimization algorithms, including fixed point theories, convergence theorems, variational inequality problems, minimization problems, split feasibility problems, variational inclusion problems, and equilibrium problems.<br><br>This book will equip readers with the theoretical mathematics background and necessary tools to tackle challenging optimization problems involving a range of algebraic methods, empowering them to apply these techniques in their research, professional work, or academic pursuits.

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