Duality in Vector Optimization

Radu Ioan Bot

ISBN 10: 3642269362 / ISBN 13: 9783642269363

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 2012, 2012

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -Thecontinuousandincreasinginterestconcerningvectoroptimizationperc- tible in the research community, where contributions dealing with the theory of duality abound lately, constitutes the main motivation that led to writing this book. Decisive was also the research experience of the authors in this eld, materialized in a number of works published within the last decade. The need for a book on duality in vector optimization comes from the fact that despite the large amount of papers in journals and proceedings volumes, no book mainly concentrated on this topic was available so far in the scienti c landscape. There is a considerable presence of books, not all recent releases, on vector optimization in the literature. We mention here the ones due to Chen,HuangandYang(cf. [49]),EhrgottandGandibleux(cf. [65]),Eichfelder (cf. [66]), Goh and Yang (cf. [77]), G¿ opfert and Nehse (cf. [80]), G¿ opfert, - ahi, Tammer and Z alinescu (cf. [81]), Jahn (cf. [104]), Kaliszewski (cf. [108]), Luc (cf. [125]), Miettinen (cf. [130]), Mishra, Wang and Lai (cf. [131,132]) and Sawaragi, Nakayama and Tanino (cf. [163]), where vector duality is at most tangentially treated. We hope that from our e orts will bene t not only researchers interested in vector optimization, but also graduate and und- graduate students. The framework we consider is taken as general as possible, namely we work in (locally convex) topological vector spaces, going to the usual nite - mensional setting when this brings additional insights or relevant connections to the existing literature.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 416 pp. Englisch.

Seller Inventory # 9783642269363

Bibliographic Details

• Title: Duality in Vector Optimization
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 2012
• Publication Date: 2012
• Language: English
• ISBN 10: 3642269362
• ISBN 13: 9783642269363
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 23D millimeters 235 millimeters width by 155 millimeters height by 23 millimeters depth
• Weight: 628 grams

About this title

Synopsis

This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes.

From the Back 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.