Scalarization and Separation by Translation Invariant Functions - with Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Economics (Hardcover, 1st ed. 2020)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Vector Optimization
Release date:	June 2020
First published:	2020
Authors:	Christiane Tammer • Petra Weidner
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	690
Edition:	1st ed. 2020
ISBN-13:	978-3-03-044721-2
Categories:	Books > Business & Economics > Economics > Economic theory & philosophy Books > Business & Economics > Finance & accounting > General Books > Business & Economics > Business & management > Management & management techniques > Operational research Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Science & Mathematics > Mathematics > Optimization > General
LSN:	3-03-044721-9
Barcode:	9783030447212

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