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arXiv · 1807.04129

Strong contraction mapping and topological non-convex optimization

Siwei Luo
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Abstract

The strong contraction mapping, a self-mapping that the range is always a subset of the domain, admits a unique fixed-point which can be pinned down by the iteration of the mapping. We introduce a topological non-convex optimization method as an application of strong contraction mapping to achieve global minimum convergence. The strength of the approach is its robustness to local minima and initial point position.

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Siwei Luo. 2018-07-08. Strong contraction mapping and topological non-convex optimization. https://arxiv.org/abs/1807.04129

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