Apple’s trademark lawsuit against Amazon.com seems to have hit a brick wall. Apple originally hoped that Amazon would be stopped from using App Store name.
It appears that Apple has struggled to prove why anyone would confuse the Apple’s original App Store with Amazon’s Appstore for Android. Therefore it remains unlikely that Apple will have their way.
However, Apple continues to insist that Amazon has illegally using the App Store name in connection with its "Amazon Appstore Developer Portal" and is still hopeful that Amazon will be restricted from using the App Store name.