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Fixed Point Optimization Algorithms and Their Applications

Fixed Point Optimization Algorithms and Their Applications

Paperback

Series: Advanced Studies in Complex Systems

ApplicationsGeneral ComputersGeneral Science

Currently unavailable to order

ISBN10: 0443335869
ISBN13: 9780443335860
Publisher: Morgan Kaufmann Publishers
Published: Dec 4 2024
Pages: 244
Weight: 1.15
Height: 0.48 Width: 7.52 Depth: 9.28
Language: English
Fixed Point Optimization Algorithms and Their Applications 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 book is divided into nine chapters beginning with foundational concepts of normed linear spaces, Banach spaces, and Hilbert spaces, along with nonlinear operators and useful lemmas and theorems for proving the book's main results. The author presents algorithms for nonexpansive and generalized nonexpansive mappings in Hilbert space, and presents 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. Fixed Point Optimization Algorithms and Their Applications equips 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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