Vector Optimization

Theory, Applications, and Extensions

Johannes Jahn (Autor)

Buch | Softcover

XV, 481 Seiten

2014 | 2nd ed. 2011
Springer Berlin (Verlag)
978-3-642-42330-7 (ISBN)

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This new edition of a key monograph has fresh sections on the work of Edgeworth and Pareto in its presentation in a general setting of the fundamentals and important results of vector optimization. It examines background material, applications and theories.

Fundamentals and important results of vector optimization in a general setting are presented in this book. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning.

This second edition contains new parts on the adaptive Eichfelder-Polak method, a concrete application to magnetic resonance systems in medical engineering and additional remarks on the contribution of F.Y. Edgeworth and V. Pareto. The bibliography is updated and includes more recent important publications.

I Convex Analysis. - II Theory of Vector Optimization. - III Mathematical Applications. - IV Engineering Applications. - V Extensions to Set Optimization.

Erscheint lt. Verlag	14.10.2014
Zusatzinfo	XV, 481 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	759 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Wirtschaft ► Allgemeines / Lexika
	Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
ISBN-10	3-642-42330-2 / 3642423302
ISBN-13	978-3-642-42330-7 / 9783642423307
Zustand	Neuware