01 - Preheat oven to 325°F (165°C). Line a 12-cup muffin tin with paper liners.
02 - In a medium bowl, combine graham cracker crumbs, granulated sugar, and melted butter until evenly moistened. Evenly divide mixture among liners and press firmly to create compact bases.
03 - In a mixing bowl, beat cream cheese and granulated sugar until smooth and creamy. Add egg, vanilla extract, and sour cream; mix just until blended. Spoon evenly over prepared crusts.
04 - Bake on the middle rack for 16 to 18 minutes, or until the centers are just set. Allow to cool at room temperature for 30 minutes, then chill at least 1 hour in the refrigerator.
05 - In a small saucepan over medium heat, combine brown sugar, unsalted butter, heavy cream, and salt. Stir constantly until mixture thickens, about 3 to 4 minutes. Remove from heat, stir in chopped pecans and vanilla extract, and allow to cool slightly.
06 - Spoon a generous amount of pecan pie topping onto each chilled cheesecake. Refrigerate an additional 15 to 20 minutes before serving for best texture.