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math.OC2026
Polarizable quasiconvex function generated metric projection
A. B. Németh, S. Z. Németh
We study when generalized metric projections generated by strongly quasiconvex functions are polarizable. The point of departure is Moreau's decomposition theorem, where the Euclid…
math.OC2026
A subdifferential characterization via Busemann functions and applications to DC optimization on Hadamard manifolds
O. P. Ferreira, D. S. Gonçalves, M. S. Louzeiro +2
This paper investigates the properties of Busemann functions on Hadamard manifolds and their use in optimization algorithms in Riemannian settings. We present a new Busemann-based…