A unified framework using scaled Kurdyka-Lojasiewicz inequalities shows that Bregman proximal point and gradient methods, and mirror flow, converge for closed-domain separable kernels and subanalytic or definable objectives.
Regularized Lotka-Volterra dynamical system as continuous proximal-like method in optimization.Journal of Optimization Theory and Applications, 121:541–570, 2004
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A Unified Framework for Iterate Convergence of Bregman Proximal Methods
A unified framework using scaled Kurdyka-Lojasiewicz inequalities shows that Bregman proximal point and gradient methods, and mirror flow, converge for closed-domain separable kernels and subanalytic or definable objectives.