Can I read Vector Optimization : Theory, Applications, and Extensions on EtoBox?

Vector Optimization : Theory, Applications, and Extensions by Professor Dr. Johannes Jahn (auth.) is a nonfiction available to read on EtoBox.

What is Vector Optimization : Theory, Applications, and Extensions about?

In vector optimization one investigates optimal elements such as min­ imal, strongly minimal, properly minimal or weakly minimal elements of a nonempty subset of a partially ordered linear space. The prob­ lem 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 engineer­ ing and economics. Vector optimization problems arise, for exam­ ple, in functional analysis (the Hahn-Banach theorem, the lemma of Bishop-Phelps, Ekeland's variational principle), multiobjective pro­ gramming, 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). In the last decade vector optimization has been extended to problems with set-valued maps. This new field of research, called set optimiza­ tion, seems to have important applications to variational inequalities and optimization problems with m

Who reads Vector Optimization : Theory, Applications, and Extensions?

Author

Professor Dr. Johannes Jahn (auth.)

Publisher

Springer Berlin Heidelberg

Published

2004

Language

EN

ISBN

9783642058288

Category

nonfiction

Subjects

Mathematics, Business, Science