Of course there is and there will be competition. Everything which attracts a number of possible customers / investors / … has competitors and it is good like this. Without competition there is no incentive to do better and to improve something.  @sagar1259 already mentioned some competitors.

If you want to cover the topic of competition here, you'd need to define which sector you mean. Steemit as a blockchain has many functionalities and they will increase with SMTs. Several DApps are  build on Steemit, all covering different sectors and all have competitors.

E.g. Steepshot is a DApp build to share your images. Kind of instagram. There is already sola.ai as competitor and with APPICS there will also be one on the Steemit blockchain. There is a big competition.

Also DTube and Dlive who are competitors for themselves, both on the Steemit blockchain (well,. at least a bit as videos and images are not stored on Steemit).

But there are also DApps with nearly no competitor from the cryptocurrency scene at the moment, at least I don't know competitors for Fundition or Utopian.