2 citations · 2 across the 5 of their papers we have counts for
5 papers
Baillon-Bruck-Reich revisited: divergent-series parameters and strong convergence in the linear case
Sedi Bartz, Heinz H. Bauschke, Yuan Gao
The Krasnoselskii-Mann iteration is an important algorithm in optimization and variational analysis for finding fixed points of nonexpansive mappings. In the general case, it produ…
On the equivalence of -potentiability and -path boundedness in the sense of Artstein-Avidan, Sadovsky, and Wyczesany
Sedi Bartz, Heinz H. Bauschke, Yuan Gao
A cornerstone of convex analysis, established by Rockafellar in 1966, asserts that a set has a potential if and only if it is cyclically monotone. This characterization was general…
Carleman estimates for higher order partial differential operators and its applications
Xiaoyu Fu, Yuan Gao
In this paper, we obtain a Carleman estimate for the higher order partial differential operator. In the process of establishing this estimate, we developed a new method, which is c…
On a result by Baillon, Bruck, and Reich
Heinz H. Bauschke, Yuan Gao
It is well known that the iterates of an averaged nonexpansive mapping may only converge weakly to fixed point. A celebrated result by Baillon, Bruck, and Reich from 1978 yields st…
Homogenization of Wasserstein gradient flows
Yuan Gao, Nung Kwan Yip
We prove the convergence of a Wasserstein gradient flow of a free energy in inhomogeneous media. Both the energy and media can depend on the spatial variable in a fast oscillatory…