On the growth of nonconvex functionals at strict local minimizers
Optimization and Control
2026-02-11 v5
Abstract
We give new characterizations of growth conditions at strict local minimizers. The main characterizations are a variant of the so-called tilt stability property and an analog of the classical Polyak--\L{}ojasiewicz condition, where the gradient is replaced by linear perturbations.
Keywords
Cite
@article{arxiv.2409.01833,
title = {On the growth of nonconvex functionals at strict local minimizers},
author = {Alberto Domínguez Corella and Trí Minh Lê},
journal= {arXiv preprint arXiv:2409.01833},
year = {2026}
}
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19 pages