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On Bauschke-Bendit-Moursi modulus of averagedness and classifications of averaged nonexpansive operators
Shuang Song, Xianfu Wang
Averaged operators are important in Convex Analysis and Optimization Algorithms. In this paper, we propose classifications of averaged operators, firmly nonexpansive operators, and…
math.OC2025
Relaxed Weak Accelerated Proximal Gradient Method: a Unified Framework for Nesterov's Accelerations
Hongda Li, Xianfu Wang
This paper is devoted to the study of accelerated proximal gradient methods where the sequence that controls the momentum term doesn't follow Nesterov's rule. We propose a relaxed…