Three women reported similar incidents to police and two of the women reported the suspect was on a bicycle.
The various incidents allegedly occurred over the last two months.
Police Sgt. Cate Welsh said Monday the man's request is not a crime, but they are concerned it may be a precursor to sexual assault.
"That kind of behavior tends to be a precursor to sexual assault. That's what we're trying to determine," Welsh said.
The suspect is described as white, in his early twenties, with a brown goatee and a large gap between his front teeth.
None of the women reported injuries.
Three days before the second stage of the presidential election in Ukraine, Russia has banned exports of oil, coal and petroleum products to Ukraine