Do you mean "believe" - the noun would be "belief".
The word "belive" is of Scots orgigin, meaining "in due time", "by and by" (alsbald):http://www.merriam-webster.com/dictionary/belivehttps://www.dict.cc/?s=belive
Here again with another meaning:http://www.finedictionary.com/Belive.html
- quickly, speedily
There doesn't seem to be a noun to fit this exactly - I'd say (on the basis of the 2nd meaning - speed, rapidity, or on the basis of the 1st definition, timeliness)