Starting problems

When I turn on the keys for ignition the engine will start but will stop after five to ten seconds and this is happening many times. After that I press the accelerator, so that engine will not stop. After few minutes engine comes to normal running condition and then it is not creating any starting issue. This thing is observed irrespective of the fact whether the car is being started in the morning, or was stopped after running twenty km.
I had done the servicing also to overcome the problem, but still the problem is not resolved. I am still facing the starting problem.

My question : Why engine stop after five to ten seconds?