1 citations · 1 across the 2 of their papers we have counts for
4 papers
On Douglas-Rachford splitting that generally fails to be a proximal mapping: A degenerate proximal point analysis
Feng Xue
Based on a degenerate proximal point analysis, we show that the Douglas-Rachford splitting can be reduced to a well-defined resolvent, but generally fails to be a proximal mapping.…
On the metric resolvent: nonexpansiveness, convergence rates and applications
Feng Xue
In this paper, we study the nonexpansive properties of metric resolvent, and present a convergence rate analysis for the associated fixed-point iterations (Banach-Picard and Krasno…
A generalized forward-backward splitting operator: Degenerate analysis and applications
Feng Xue
In this paper, we study the nonexpansive properties of a generalized forward-backward splitting (G-FBS) operator, particularly under the setting of degenerate metric, from which fo…
On the nonexpansive operators based on arbitrary metric: A degenerate analysis
Feng Xue
We in this paper study the nonexpansive operators equipped with arbitrary metric and investigate the connections between firm nonexpansiveness, cocoerciveness and averagedness. The…