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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
On Successive Approximations for Compact-Valued Nonexpansive Mappings
Emir Medjic
We show that for a given initial point the typical, in the sense of Baire category, nonexpansive compact valued mapping has the following properties: there is a unique sequence…