Personally, I see the future without fiat money, but a full cashless settlement. The Internet currency is the currency of the future, there will be a word behind it.
Bitcoin and fiat currency both have bright future. But Bitcoin is upgrading currency. Bitcoin is digital currency and it fully supports the cashless society agenda by its innovative money transaction facility and Blockchain technology. Many online retailer and big companies start using Bitcoin. Bitcoin is has no physical appearance but it can convert into fiat currency. Although Bitcoin is a improve currency but it still ban in many country, it is not worldwide accepted currency but fiat currency is worldwide accepted and trusted. So i think in near future bitcoin has no chance to take the place of fiat currency.