Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
Book Details
Format
Hardback or Cased Book
Book Series
Applied Optimization
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
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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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