How to insert a custom search fields in a views page
On your view, all you simply need to do is add a filter criteria and expose it to the user. So you add a filter criteria of your content type, that you will not need to expose since thats the one you want to search on.

If you are searching on the title, you add a filter criteria, select content:title, it takes you to the next selection, select expose to visitors. You can also choose what operator to use and if need be, you can also expose the operator. See screenshot