> I utilised the mab global variable but the problem is the same and if
> I do not declare a new map, the search address does not return any
> address.

Don't create a new map in your searchAddress() function.
Centre the global 'map' on the geocoded result.
Place a marker at the geocoded result.


> So, it reamains the problem to delete the others markers...

Don't make other markers ; use only one.
For having only one marker, do something like

var marker;

function whatever()
{
 ....
       if (!marker)
           make a new marker
       else
           re-position the existing marker

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