3 papers
math.OC2026
Modulus of conically averaged mappings and its applications to angles between two subspaces
Honglin Luo, Shuang Song, Xianfu Wang
Conically averaged mappings, a generalization of averaged mappings, are important in a wide range of Optimization Algorithms. In this paper, we propose the modulus of conical avera…
math.CA2026
On Characterizations of (Almost) Strictly Convex Functions
Heinz H. Bauschke, Honglin Luo, Xianfu Wang
In this paper, we unify and improve existing results on characterizing strict and almost stricty convex functions via subdifferential mapping, Moreau envelope, and proximal mapping…
math.OC2026
Level proximal subdifferential, variational convexity, and pointwise quadratic approximation
Honglin Luo, Xianfu Wang, Ziyuan Wang +1
Level proximal subdifferential was introduced by Rockafellar recently for studying proximal mappings of possibly nonconvex functions. In this paper a systematic study of level prox…