Vector optimization : theory, applications, and extensions /

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Bibliographic Details
Author / Creator:	Jahn, Johannes, 1951-
Edition:	2nd ed.
Imprint:	Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, 2011.
Description:	1 online resource (xv, 481 p.)
Language:	English
Subject:	Mathematical optimization. Vector spaces. Linear topological spaces. Linear topological spaces. Mathematical optimization. Vector spaces.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/8896516

Hidden Bibliographic Details
ISBN:	9783642170058 (electronic bk.) 3642170056 (electronic bk.)
Notes:	Includes bibliographical references (p. 449-474) and index. Description based on print version record.
Summary:	This book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning.

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