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Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications, Band 388) - Softcover

Pallaschke, Diethard Ernst Ernst; Rolewicz, S.

 
9789048148004: Foundations of Mathematical Optimization: Convex Analysis without Linearity (Mathematics and Its Applications, Band 388)
Softcover
ISBN 10: 9048148006 ISBN 13: 9789048148004
Verlag: Springer, 2010

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
9048148006
ISBN 13 
9789048148004
Einband
Taschenbuch
Anzahl der Seiten
600
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