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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization

Book Details

Format Hardback or Cased Book
ISBN-10 079236287X
ISBN-13 9780792362876
Publisher Kluwer Academic Publishers
Imprint Kluwer Academic Publishers
Country of Manufacture GB
Country of Publication GB
Publication Date May 31st, 2000
Print length 220 Pages
Ksh 12,950.00
Werezi Extended Catalogue 0 in stock

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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.
1: Totally Convex Functions.- 1.1. Convex Functions and Bregman Distances.- 1.2. The Modulus of Total Convexity.- 1.3. Total Versus Locally Uniform Convexity.- 1.4. Particular Totally Convex Functions.- 2: Computation of Fixed Points.- 2.1. Totally Nonexpansive Operators.- 2.2. Totally Nonexpansive Families of Operators.- 2.3. Stochastic Convex Feasibility Problems.- 2.4. Applications in Particular Banach Spaces.- 3: Infinite Dimensional Optimization.- 3.1. A Proximal Point Method.- 3.2. Convergence of the Proximal Point Method.- 3.3. The Basics of a Duality Theory.- 3.4. An Augmented Lagrangian Method.- 3.5. Unconstrained Convex Minimization.

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