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Scalarization and Separation by Translation Invariant Functions - with Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Economics (Hardcover, 1st ed. 2020)
Loot Price: R3,016
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Scalarization and Separation by Translation Invariant Functions - with Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Economics (Hardcover, 1st ed. 2020)
Series: Vector Optimization
Expected to ship within 10 - 15 working days
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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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