If you're getting a "No Internet Connection" error on the App Store after updating to iOS 17.1.1, but other apps are working fine, try these steps:
1. Check cellular data settings by going to Settings > App Store and ensure that cellular data is enabled if you're not on Wi-Fi.
2. Sign out and back in by going to Settings > [your name] > Media & Purchases, then tap sign out. Restart your phone and sign back in.
3. Reset network settings by going to Settings > General > Reset > Reset Network Settings. This will reset Wi-Fi, cellular, and VPN settings.
4. Check your VPN or proxy settings, as these can sometimes interfere with the App Store connection. Make sure they're turned off in Settings > General > VPN & Device Management.
These steps should help resolve the issue, as it seems to be a software-related issue introduced by the update.