Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications)

Pallaschke, Diethard Ernst Ernst; Rolewicz, S.

ISBN 10: 9048148006 ISBN 13: 9789048148004

Editorial: Springer, 2010

Idioma: Ingl�s

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Detalles bibliogr�ficos

T�tulo

Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications)

Editor

Springer

Fecha de publicaci�n

2010

Idioma

Ingl�s

ISBN 10

9048148006

ISBN 13

9789048148004

Encuadernaci�n

Encuadernaci�n de tapa blanda

Estado

New

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Sinopsis

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.

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