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

Vector Optimization: Theory, Applications, and Extensions

by Johannes Jahn
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Book cover type: Paperback
  • ISBN13: 9783642423307
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 481
  • Original Price: EUR 99.99
  • Language: English
  • Edition: 2011
  • Item Weight: 748 grams
  • BISAC Subject(s): Operations Research, Linear & Nonlinear Programming, and Economics / General

From the Back Cover

This book presents fundamentals and important results of vector optimization in a general setting. 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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