In my scenario, I would like to keep a restriction on the min value on a transaction.
For example, if A is to transfer some ETH to B, the min amount he can is > 0.01 ETH.
So that a miner cannot include transactions < 0.01 ETH.
How can I achieve this? Any idea would help.
You cannot influence the miner in any way through the structure of your smart contract. What you can do, however, is limit the user's ability to send greater than or less than a certain amount of funds, which it looks like you are trying to do.
In this case, you would include the following line in the function being called:
require(msg.value > 0.01 ether);
This will cause the transaction to fail if someone sends less than that amount in.
