An evolution equation governed by a quasi-nonexpansive mapping on Hadamard manifolds and its backward discretization
Hadi Khatibzadeh, Mohsen Rahimi Piranfar · Filomat · 2020
We study the asymptotic behavior of solutions to a first-order evolution equation governed by a locally Lipschitz quasi-nonexpansive mapping. We show that such solutions converge to a fixed point of the quasi-nonexpansive mapping as time goes to infinity. Time discretization of this system provides an iterative method to approximate a fixed point of quasi-nonexpansive mappings on Hadamard manifolds.