Approximate Solutions of Common Fixed-Point Problems

• Main Author: Zaslavski, Alexander J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Springer Optimization and Its Applications, 112
• Subjects: Mathematics.; Operator theory.; Numerical analysis.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Numerical Analysis.; Operator Theory.

This book presents results on the convergence behavior of algorithms which are known as vital tools for solving convex feasibility problems and common fixed point problems. The main goal for us in dealing with a known computational error is to find what approximate solution can be obtained and how m...

Table of Contents:

• 1.Introduction
• 2. Dynamic string-averaging methods in Hilbert spaces
• 3. Iterative methods in metric spaces
• 4. Dynamic string-averaging methods in normed spaces
• 5. Dynamic string-maximum methods in metric spaces
• 6. Spaces with generalized distances
• 7. Abstract version of CARP algorithm
• 8. Proximal point algorithm
• 9. Dynamic string-averaging proximal point algorithm
• 10. Convex feasibility problems
• 11. Iterative subgradient projection algorithm
• 12. Dynamic string-averaging subgradient projection algorithm.– References.– Index. .