Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Selection theorem
open-in-new
<p>In <a href="/facts/Functional_analysis/MIp233MT">functional analysis</a>, a branch of mathematics, a selection theorem is a theorem that guarantees the existence of a single-valued <a href="/facts/Selection_function/AutN9YcF">selection function</a> from a given <a href="/facts/Set-valued_function/WH5ua6BL">set-valued map</a>. There are various selection theorems, and they are important in the theories of <a href="/facts/Differential_inclusion/Wkwz88yV">differential inclusions</a>, <a href="/facts/Optimal_control/9SmcQHjJ">optimal control</a>, and <a href="/facts/Mathematical_economics/Dvy7j519">mathematical economics</a>. </p>