Businessman preventing two people from transacting a sale on his property

Q: Could mufti advise on the following: 

Person A owns a Cash n Carry, person B and person C both are his customer's and purchase from him. At the premises of person A, person B and C meet and start transacting on person A's premises. Person A in turns tells Person B that person C is my customer and you cannot supply him. 

1. Is this type of clause permissable in shariah where person A stops person B from supplying person C as he feels it's his customer. 

2. If person B and C transacted on person A's property, is the sale valid.