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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization

Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization

Hardcover

Series: Applied Optimization, Book 40

Medical ReferenceGeneral Mathematics

ISBN10: 079236287X
ISBN13: 9780792362876
Publisher: Springer Nature
Published: May 31 2000
Pages: 224
Weight: 1.08
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics