Hi DavidWE,
welcome to the Apple (user-to-user) Community!
Re: "How to stop unrecognized payments made with Apple Pay? : it was an Apple payment "
First, you may want to check what the payments were for ... eg: maybe a family member initiated them?
How to see what you were charged for If you see 'apple.com/bill' on your billing statement - Apple Support
and
View your purchase history for the App Store, iTunes Store, and other Apple media services - Apple Support
If you are charged for a subscription that you do not want, it would need to be cancelled so you are not charged monthly: If you want to cancel a subscription from Apple - Apple Support
How to: Request a refund for apps or content that you bought from Apple - Apple Support
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Re: "How to stop unrecognized payments"
After the above you may (or may not) know where the charges originated ?
If you have family, you may want to use Screen Time and "Ask to Buy" to help with purchases.
Set up parental controls with Family Sharing on iPhone - Apple Support
Eg: How to: Set up Ask to Buy - Apple Support
Else: For the App Store etc.:
You can: Manage App Store purchases, subscriptions, settings, and restrictions on iPhone - Apple Support
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If needed: more info / support / contact options: (online chat / phone / email etc.)
Apple Pay Support website: Apple Pay - Official Apple Support
or
Apple ID Support website: Apple ID - Official Apple Support
or
iTunes Support website: iTunes - Official Apple Support / Subscriptions and Billing - Official Apple Support