Those are simply trainers of the "Psychic" trainer class. More specifically, from Generation 4. They don't share a name, other than "Psychic" (which is more of a title than a name), so each one will have a different name.
Also, as said in the first comment on this answer, they somewhat resemble Tate and Liza (pictured below), both of which are also Psychic type trainers.

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