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Книга Scalarization and Separation by Translation Invariant Functions Christiane Tammer

Scalarization and Separation by Translation Invariant Functions

with Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Economics

Автор: Christiane Tammer, Petra Weidner
Език: Английски език
Корици: С твърди корици
Издател: Springer Nature Switzerland AG
Наличност: Външен склад в ограничено количество
Изпращаме след 13-18 дни
116.25 € 227.37 лв
Like norms, translation invariant functions are a natural and powerful tool for the separation of se...

Информация за книгата

Автор
Christiane Tammer, Petra Weidner
Език
Английски език
Корици
Книга - С твърди корици
Издадена
2020
страници
690
EAN
9783030447212
Enbook ID
28235913
Издател
Springer Nature Switzerland AG
Теглоt
1226
Размери
155 x 235 x 38

Пълно описание

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.

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