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Duality in Vector Optimization

Duality in Vector Optimization

Duality in Vector Optimization
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Duality in Vector Optimization Papeback - - 2009th Edition

by Radu Ioan Bot Gert Wanka Sorin-Mihai Grad

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Springer , pp. 418 . Papeback. New.
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Details

  • Title Duality in Vector Optimization
  • Author Radu Ioan Bot Gert Wanka Sorin-Mihai Grad
  • Binding Papeback
  • Edition number 2009th
  • Edition 2009
  • Condition New
  • Pages 400
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date pp. 418
  • Bookseller's Inventory # 614431269
  • ISBN 9783642269363 / 3642269362
  • Weight 1.28 lbs (0.58 kg)
  • Dimensions 9.21 x 6.14 x 0.85 in (23.39 x 15.60 x 2.16 cm)
  • Category Computers - General Information
  • Dewey Decimal Code 004.015
  • Quantity available 4

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From the publisher

Preliminaries on convex analysis and vector optimization.- Conjugate duality in scalar optimization.- Conjugate vector duality via scalarization.- Conjugate duality for vector optimization problems with finite dimensional image spaces.- Wolfe and Mond-Weir duality concepts.- Duality for set-valued optimization problems based on vector conjugacy.

From the rear cover

This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes. The monograph is closed with extensive considerations concerning conjugate duality for set-valued optimization problems.

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