Overview

Authors:

A.G. Chentsov ⁰

A.G. Chentsov
1. Ural Branch of the Russ Acad of Sciences Inst. Mathematics & Mechanics, Ekaterinburg, Russia
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Part of the book series: Monographs in Contemporary Mathematics (MCMA)

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Keywords

DSI_D020
complexity

About this book

This monograph constructs correct extensions of extremal problems, including problems of multicriteria optimization as well as more general cone optimization problems. The author obtains common conditions of stability and asymptotic nonsensitivity of extremal problems under perturbation of a part of integral restrictions for finite and infinite systems of restrictions. Features include individual chapters on nonstandard approximation of finitely additive measures by indefinite integrals and constructions of attraction sets. Professor Chentsov illustrates abstract settings by providing examples of problems of impulse control, mathematical programming, and stochastic optimization.

Authors and Affiliations

Ural Branch of the Russ Acad of Sciences Inst. Mathematics & Mechanics, Ekaterinburg, Russia

A.G. Chentsov

Bibliographic Information

Book Title: Finitely Additive Measures and Relaxations of Extremal Problems
Authors: A.G. Chentsov
Series Title: Monographs in Contemporary Mathematics
Publisher: Springer New York, NY
Hardcover ISBN: 978-0-306-11038-2Published: 30 September 1996
Edition Number: 1
Number of Pages: XII, 244

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Finitely Additive Measures and Relaxations of Extremal Problems