Did CS Lewis influence tolkiens writings in any way??

Anyone who knows the history of tolkien should know that tolkien and Cs Lweis were very good freinds. They even made a contests with two stories; Cs Lewis did space travel, and Tolkien did Time travel. Cs lewis's story became Out of the silent planet, perelandra, and that hidious strength, while tolkiens story became atlantie, or as is now called, numenor (a version of the atlantis legend). but did cs lewis influence his writing any other way?? please answer. thank you