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Introduction and Problem Formulation

  • Johannes Jahn

Abstract

In optimization one investigates problems of the determination of a minimal point of a functional on a nonempty subset of a real linear space. To be more specific this means: Let X be a real linear space, let S be a nonempty subset of X, and let f : S → ℝ be a given functional. We ask for the minimal points of f on S. An element \(\bar x \in S\) is called a minimal point of f on S if
$$f(\bar x)f(x)for\,all\,x \in S.$$
The set S is also called constraint set, and the functional f is called objective functional.

Keywords

Design Variable Problem Formulation Minimal Point Nonempty Subset Simple Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Johannes Jahn
    • 1
  1. 1.Institut für Angewandte MathematikUniversität Erlangen-NürnbergErlangenGermany

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