Mower starts up fine, runs for about 10 to 12 minutes, then engine slowly dies out. Will not start for a few minutes then starts and again dies, Have replaced the fuel pump, plugs, fuel filter, cleaned the carburetor and still the same problem

Might check the fuel tank cap make sure its venting.
Luck

Thank you for your kind reply, I checked that out too. Is it possible that the carburetor solenoid is not working correctly?

Anything is possible . Most of time they work or not.
How long does it run when you restart it ?

It runs for a few minutes. If I let is cool for a while maybe about 15 minutes. If I give it about 10 minutes time it will run for only about 5 minutes.

Try starting it with the gas cap removed, how long id it run?