How can a writer communicate with other bloggers asking them to visit his blog?

1. First of all, create a well-written content.

2. Promote your posts on the social media where your target audience or your fellow bloggers are.

3. Incorporate a Call-to-Action and a Landing Page in your blogs.

Communicate with bloggers who write about a theme either similar or closer to yours; write a private message to them with a request to provide a second opinion on a given/current issue you maybe writing about; a blogger is eager to give his thought so he most likely would accept.