Is it lawful for one who shares in the ownership of a shop inherited from their father to receive half the profit, with the other half divided among the heirs according to Sharia?

The question is ambiguous, but if the father is a tenant of the shop and not its owner, he cannot register the shop in the names of his sons because it does not belong to him. Consequently, the sons do not have the right to own the shop after the father's death. Rather, the right to benefit from the shop is transferred to them until the expiration of the agreed-upon lease term. This is based on the opinion of the majority of scholars that the death of the tenant or the landlord does not invalidate the lease contract.