I also am having this problem. I have an iPhone 4, which, for obvious reasons, does not have the most recent iOS. I'm on the highest version of 7. While reading an article, it will suddenly redirect to this malware site, with no way of reloading the previous page that I was reading. Safari briefly says this new site is not really a site before it then opens the App Store. Never the same App twice (that I have noticed). I tried the usual methods of clearing out a problem too, much like Russkie1. The website that it almost exclusively affects for me is (no politics discussions wanted) glennbeck.com and theblaze.com when I am reading articles. At first I thought it was an iPhone 4 type problem, as my phone is ridiculously slow at loading pages, translating swipes as copy/paste prompts, or just simply not registering swipes, or at least full swipes, and I thought maybe I was just accidentally clicking on an ad while my poor overloaded phone was thinking. It is interesting to know that a brand new phone has the same problem. Unfortunately, I had been saving multiple articles up in my Safari tabs for viewing at a later date, and now some have auto redirected with no possible way to load previous page and no way of knowing which article it was. Serves me right for not saving bookmarks or saving to a reading list.
Just today a new redirect started happening, mixing in with the afftrx one. I haven't had a chance to write the new one down yet, and haven't seen it enough to remember it. Either way, when probably 3/4 of my articles redirect within a few seconds of trying to read them, it gets frustrating.
The problem seems to occur more likely when using wireless data than with wifi, though has happened on wifi as well.