Foundations of Mathematical Optimization

Convex Analysis without Linearity

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March 28, 2025 | History

Foundations of Mathematical Optimization

Convex Analysis without Linearity

Many books on optimization consider only finite dimensional spaces. This volume is unique in its emphasis: the first three chapters develop optimization in spaces without linear structure, and the analog of convex analysis is constructed for this case. Many new results have been proved specially for this publication. In the following chapters optimization in infinite topological and normed vector spaces is considered. The novelty consists in using the drop property for weak well-posedness of linear problems in Banach spaces and in a unified approach (by means of the Dolecki approximation) to necessary conditions of optimality. The method of reduction of constraints for sufficient conditions of optimality is presented. The book contains an introduction to non-differentiable and vector optimization. Audience: This volume will be of interest to mathematicians, engineers, and economists working in mathematical optimization.

Publish Date
Language
English
Pages
585

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Edition Availability
Cover of: Foundations of Mathematical Optimization
Foundations of Mathematical Optimization: Convex Analysis without Linearity
1997, Springer Netherlands
electronic resource : in English

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Book Details


Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Dordrecht
Series
Mathematics and Its Applications -- 388, Mathematics and Its Applications -- 388

Classifications

Dewey Decimal Class
519.6
Library of Congress
QA402.5-402.6

The Physical Object

Format
[electronic resource] :
Pagination
1 online resource (xii, 585 p.)
Number of pages
585

Edition Identifiers

Open Library
OL27039635M
ISBN 10
9048148006, 9401715882
ISBN 13
9789048148004, 9789401715881
OCLC/WorldCat
851389404

Work Identifiers

Work ID
OL19851031W

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 28, 2025 Edited by ImportBot Redacting ocaids
September 29, 2024 Edited by MARC Bot import existing book
March 1, 2022 Edited by ImportBot import existing book
February 26, 2022 Edited by ImportBot import existing book
June 30, 2019 Created by MARC Bot Imported from Internet Archive item record