Closures and Neighbourhoods Induced by Tangential Approximations

  • Milan Vlach
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 226)

Abstract

We begin with a simple observation that every usual optimization problem is determined by the following two components: a set of “feasible” solutions and a binary relation “better”. The set of all feasible solutions is, as a rule, given through a system of conditions as a subset of a larger set endowed with some structures. The relation better should make a consistent comparison of feasible solutions possible. As a minimal consistency condition we shall require that the relation in question is acyclic.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Milan Vlach

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