Vector Optimization: Theory, Applications, and Extensions - Jahn, Johannes

Vector Optimization: Theory, Applications, and Extensions

Johannes Jahn

Yayınevi: Springer

Yayın tarihi: 01/2011

ISBN: 9783642423307

İngilizce | 500 Sayfa | 15,49x23,5x2,87 cm.

Tür: Genel Mühendislik

  • Temin Süresi 49 - 63 iş günü

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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.

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