Closures and Neighbourhoods Induced by Tangential Approximations
Conference paper
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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