I am one who has to act. I would not have a conflict with the shop owner, but I'd make a stink elsewhere. The owners of city officials. Maybe your city encourages cycling now. COuld an ordinance be passed. I'd contact the shopping centers' owners.
How about getting cycling advocacy groups contacting the center.
Cyclists should be protected groups. Can't afford a car and bike commute everywhere, it is discrimination against a social class of workers.