The 4th Amendment states that
The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized.
which, read literally, states conditions under which it is permitted to issue a warrant for arrest or search. It does not say that a person may not be seized or searched except if a warrant is issued, and I am not aware of any provision in the constitution that makes a warrant optional. Nevertheless, people are arrested by the police without them having first secured a warrant.
Is there some relevant case where it was decided that police have the power to seize people without a warrant?