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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization

Name: Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
Brand: Springer Netherlands
SKU: 9780792362876
Price: 99.56 EUR
Availability: InStock

Автор: D. Butnariu, A. N. Iusem

Език:

Корици: С твърди корици

Издател: Springer Netherlands

Наличност: Външен склад

Изпращаме след 10-18 дни

99.56 € 194.73 лв

The main purpose of this book is to present, in a unified approach, several algorithms for fixed poi...

Информация за книгата

Автор

D. Butnariu, A. N. Iusem

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2000

страници

205

EAN

9780792362876

Enbook ID

05250748

Издател

Springer Netherlands

Теглоt

495

Размери

164 x 247 x 17

Пълно описание

The main purpose of this book is to present, in a unified approach, several algorithms for fixed point computation, convex feasibility and convex optimization in infinite dimensional Banach spaces, and for problems involving, eventually, infinitely many constraints. For instance, methods like the simultaneous projection algorithm for feasibility, the proximal point algorithm and the augmented Lagrangian algorithm are rigorously formulated and analyzed in this general setting and shown to be applicable to much wider classes of problems than previously known. For this purpose, a new basic concept, `total convexity', is introduced. Its properties are deeply explored, and a comprehensive theory is presented, bringing together previously unrelated ideas from Banach space geometry, finite dimensional convex optimization and functional analysis. For making our general approach possible we had to improve upon classical results like the Hölder-Minkowsky inequality of Lp. All the material is either new or very recent, and has never been organized in a book. §Audience: This book will be of interest to both researchers in nonlinear analysis and to applied mathematicians dealing with numerical solution of integral equations, equilibrium problems, image reconstruction, optimal control, etc.