contractions - What does 's mean at the end of someone's name?

I understand 's means is and has, if 's is used at the end of a name, Does it mean is or has?Let's suppose Ex is a someone's name.

Ex is object -it can mean Ex is an object, totally incorrect

Ex has object -incorrect grammar and it does not refer to have something

What does 's really mean? What is the no-contraction mode of name_of_a_person's?