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← Logic & PuzzlesIf an autonomous vehicle continuously updates its map using sensor data and a fixed-point iteration algorithm, which consequence follows when the mapping function is non-contractive?
A)Guaranteed map convergence is achieved
B)Map oscillations or divergence occur✓
C)Optimal path planning is ensured
D)Sensor data is perfectly filtered
💡 Explanation
Map oscillations or divergence occur because a non-contractive mapping function violates the Banach fixed-point theorem, which requires the mapping to reduce distances between points during each iteration to guarantee convergence. Therefore, the algorithm may not settle on a single, stable map, rather than providing reliable sensor filtering.
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