Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Scalarization and Separation by Translation Invariant Functions: With Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Ec

Scalarization and Separation by Translation Invariant Functions: With Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Ec

Tammer, Christiane
Weidner, Petra

Hardcover

Series: Vector Optimization

Business GeneralEconomicsGeneral Mathematics

ISBN10: 3030447219
ISBN13: 9783030447212
Publisher: Springer Nature
Published: Jun 29 2020
Pages: 690
Weight: 2.57
Height: 1.50 Width: 6.14 Depth: 9.21
Language: English

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.

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