Vector Optimization and Monotone Operators via Convex Duality

Released on by Sorin-Mihai Grad
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  • Vector Optimization and Monotone Operators via Convex Duality Book Detail

  • Author : Sorin-Mihai Grad
  • Release Date : 2014-09-03
  • Publisher : Springer
  • Genre : Business & Economics
  • Pages : 282
  • ISBN 13 : 3319089005
  • File Size : 67,67 MB
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Vector Optimization and Monotone Operators via Convex Duality by Sorin-Mihai Grad PDF Summary

Book Description: This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.

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