3 papers
math.OC2025
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…
math.OC2025
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…
math.AP2024
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…