Over the years, there have been a number of attempts to bring pulp characters into comic books.
Among the more successful (artistically, if not commercially) were the '70s Denny O'Neil-Mike Kaluta Shadow comic and Doug Moench Doc Savage b/w magazine, and the '90s Dark Horse Shadow and Doc Savage titles (including, surprisingly, The Shadow movie adaptation).
There have also been numerous crossovers, beginning with a Shadow-Avenger team-up, a pair of Shadow-Batman crossovers that explained Batman's anti-gun stance, and even a Doc Savage-Thing team-up!
Now, DC is trying, again, to do Doc Savage. beginning with a Doc-Batman team-up.
It make sense in that both characters are near-perfect examples of human physical and mental development with an inordinate love of gadgetry.
But, let's face it, many fanboys, myself included, want to see Clark, the Man of Bronze, meeting Clark, the Man of Steel (his direct literary descendant)!
A curious aspect is that they want to integrate Doc into the DC Multiverse, mentioning that both DC-owned Blackhawk and Rima the Jungle Girl, as well as another licensed character (from another company), The Spirit, will appear, which makes it unlikely that the comics will ever be reprinted in book form (due to licensing complications).
Presumably, these characters will appear in a 1930s-1940s setting, possibly prior to America's entry into World War II.
You can check out all DC Comics Doc Savage news here.