'yet to explore' is correct and can be used in written English.
It is an expression used when referring to something that has not yet been done. For example: Many new possibilities still remain yet to explore.
There are big chunks of the repertory that this fast-rising conductor has yet to explore.
Much remains yet to explore, for which our physical senses are inadequate.
I've been here for years and there are still pockets of wilderness I've yet to explore".
There are too many things I have yet to explore about game of basketball".
But he has yet to explore New York City in depth.
For one thing, industry has yet to explore large areas to which it already has access, onshore and off.
Mr. Levy said he had yet to explore the potential benefits of converting the station to digital operation.
Friends marvel at all the bright red dots; we lament the wide open spaces yet to explore.
Yet to explore the enormous literature is to be struck not by what's there but by what's missing.
For all the grateful readers who mourned her loss, and the many who have yet to explore her work, Lucky is our conduit.
There is so much on my doorstep that I've yet to explore, so I'm really going to try and get to know it in greater detail.
