Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization

Locate

My Reading Lists:

Create a new list

Check-In

×Close
Add an optional check-in date. Check-in dates are used to track yearly reading goals.
Today


Buy this book

Last edited by MARC Bot
September 29, 2024 | History

Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization

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.

Publish Date
Language
English
Pages
220

Buy this book

Previews available in: English

Edition Availability
Cover of: Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
2000, Springer Netherlands, Imprint, Springer
electronic resource / in English

Add another edition?

Book Details


Edition Notes

Published in
Dordrecht
Series
Applied Optimization, 1384-6485 -- 40, Applied optimization -- 40.

Classifications

Library of Congress
QA402.5-402.6, QA315-316, QA402.3, QA402.5-QA402.6

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (220 pages).
Number of pages
220

ID Numbers

Open Library
OL27092408M
Internet Archive
totallyconvexfun00butn
ISBN 10
9401140669
ISBN 13
9789401140669
OCLC/WorldCat
840310096

Community Reviews (0)

Feedback?
No community reviews have been submitted for this work.

Lists

This work does not appear on any lists.

History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 29, 2024 Edited by MARC Bot import existing book
February 27, 2022 Edited by ImportBot import existing book
July 7, 2019 Created by MARC Bot Imported from Internet Archive item record