Scalarization and separation by translation invariant functions : with applications in optimization, nonlinear functional analysis, and mathematical economics / Christiane Tammer, Petra Weidner.
2020
QA433
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Title
Scalarization and separation by translation invariant functions : with applications in optimization, nonlinear functional analysis, and mathematical economics / Christiane Tammer, Petra Weidner.
Author
Tammer, Christiane.
ISBN
9783030447236 (electronic book)
3030447235 (electronic book)
3030447219
9783030447212
3030447235 (electronic book)
3030447219
9783030447212
Publication Details
Cham : Springer, 2020.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-44723-6
Call Number
QA433
Dewey Decimal Classification
515/.63
Summary
Like norms, translation invariant functions are a natural and powerful tool for the separation of sets and scalarization. This book provides an extensive foundation for their application. It presents in a unified way new results as well as results which are scattered throughout the literature. The functions are defined on linear spaces and can be applied to nonconvex problems. Fundamental theorems for the function class are proved, with implications for arbitrary extended real-valued functions. The scope of applications is illustrated by chapters related to vector optimization, set-valued optimization, and optimization under uncertainty, by fundamental statements in nonlinear functional analysis and by examples from mathematical finance as well as from consumer and production theory. The book is written for students and researchers in mathematics and mathematical economics. Engineers and researchers from other disciplines can benefit from the applications, for example from scalarization methods for multiobjective optimization and optimal control problems.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Added Author
Weidner, Petra.
Series
Vector optimization.
Available in Other Form
Print version: 9783030447212
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