Preheat your oven to 350°F. Spray a pie pan with nonstick cooking spray.
In a large bowl, whisk eggs until smooth. Add vanilla and sweetener.
Stir in Greek yogurt and pudding mix until fully blended.
Pour mixture into the prepared pan. Bake for 30 minutes.
Turn off the oven, crack the door, and let the cheesecake rest for an additional 15 minutes.
Remove from oven and cool completely before chilling in the refrigerator for 2 hours or more.