Duality in Vector Optimization
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Beschreibung
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.
The reader will get a comprehensive view on duality for scalar, vector and set-valued optimization problems Includes supplementary material: sn.pub/extras
Autor*in
Radu Ioan Bot
Themen in »Duality in Vector Optimization«
Conjugacy Duality Optimality Conditions Set-Valued Analysis Subdifferentiability Vector optimization optimization
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From the reviews:
“This book is dedicated to duality in vector optimization and is largely based on the contribution of the authors to this field. The book is divided into 7 chapters; it also contains a list of symbols and notations, an index of terms and a bibliography with 210 titles. … We recommend this book to researchers in convex scalar and vector optimization.” (Constantin Zălinescu, Mathematical Reviews, Issue 2010 i)
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