ENGLISH

Duality in vector optimization

By Radu Ioan Bot , Sorin-Mihai Grad , Gert Wanka (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
3642028853, 9783642028854
DOI
10.1007/978-3-642-02886-1
Open Library ID
OL25016148M
Language
english
Format
PDF
Filesize
2 MB (2617494 bytes)
Series
Vector Optimization
Edition
1
Pages
400\408
Topic
Mathematics\\Optimization. Operations Research
Library
Kolxo3
Time added
2009-12-04 00:34:26
Mathematical Programming; Operations Research/DeciOperations Research

Description

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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