We still haven't proven whether it's possible to fully guarantee the existence of a solution to every well-defined optimization problem, even without being able to compute it directly.
open
Global / Unspecified, Global
Some optimization problems are proven to have guaranteed solutions under specific conditions, but a fully general existence guarantee across every possible well-defined problem remains an unresolved mathematical question. This shapes both theoretical and applied research in optimization.
Citation ID: WS01347
Title: We still haven't proven whether it's possible to fully guarantee the existence of a solution to every well-defined optimization problem, even without being able to compute it directly.
URL: https://worldsolve.org/index.php?api=problem&id=1347