Are previous commitments valid in property law

What do you mean by "fire restaurant"?

A restaurant that uses fire for cooking 

It involves local law therefore you may better consult an advocate in the local and proceed as advised.

Neither facts nor query is clear.

However, the query prima facie is not a legal dispute.

If you feel strong that it is a legal issue, it is better to seek professional services of a local prudent lawyer.

Sir in simple words 

If any previous owner has said he won't start a restaurant with fire in the shop...am I duty bound to follow it as I bought the shop from bank auction.. 

You are the new buyer, what is your concern with the decision of the erstwhile owner, you can very well operate your business from the newly purchased premises if it is a comercial place, by complying with  the relevant laws and the procedures prescribed for the purpose. 

Is there anything that I need to honor the previous commitments done in MOTHER DEED ( can that deed be called mother deed)  done by previous owner to the promoter  (Deed of Conveance) .....as I bought through auction from bank ..I wasn't aware of it 

The place is commercial shop

You can choose to run a legal business in the commercial shop that you bought through bank auction sale.

Until it is not an illegal business or a hazardous business or if it is violating the local law, you can very well proceed as per your plans.

There could be no such bar unless mandated by law.