Mathematical Vector Optimization in Partially Ordered Linear Spaces (Methoden und Verfahren der mathematischen Physik) - Softcover

Martensen, Erich

Softcover

ISBN 10: 3820489401 ISBN 13: 9783820489408

Publisher: Peter Lang GmbH, Internationaler Verlag der Wissenschaften, 1985

Synopsis

In vector optimization one investigates optimal elements such as minimal, strongly minimal, properly minimal or weakly minimal elements of a nonempty subset of a partially ordered linear space. The problem of determining at least one of these optimal elements, if they exist at all, is also called a vector optimization problem. Problems of this type can be found not only in mathematics but also in engineering and economics. Vector optimization problems arise, for example, in functional analysis (the Hahn-Banach theorem, the lemma of Bishop-Phelps, Ekeland's variational principle), multi-objective programming, multi-criteria decision making, statistics (Bayes solutions, theory of tests, minimal covariance matrices), approximation theory (location theory, simultaneous approximation, solution of boundary value problems) and cooperative game theory (cooperative n player differential games and, as a special case, optimal control problems).

Edition details

• Publisher: Peter Lang GmbH, Internationaler Verlag der Wissenschaften
• Publication date: 1985
• Language: English
• ISBN 10: 3820489401
• ISBN 13: 9783820489408
• Binding: Paperback
• Number of pages: 320