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math.FA2022★ 1 cited
On generic convergence of successive approximations of mappings with convex and compact point images
Christian Bargetz, Emir Medjic, Katriin Pirk
We study the generic behavior of the method of successive approximations for set-valued mappings in separable Banach spaces. We consider the case of nonexpansive mappings with conv…
math.FA2022★ 8 cited
Generic properties of nonexpansive mappings on unbounded domains
Christian Bargetz, Simeon Reich, Daylen Thimm
We investigate typical properties of nonexpansive mappings on unbounded complete hyperbolic metric spaces. For two families of metrics of uniform convergence on bounded sets, we sh…