10 citations · 11 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…
On the existence of fixed points for typical nonexpansive mappings on spaces with positive curvature
Christian Bargetz, Michael Dymond, Emir Medjic +1
We show that the typical nonexpansive mapping on a small enough subset of a CAT()-space is a contraction in the sense of Rakotch. By typical we mean that the set of nonexpansive…
On the rate of convergence of iterated Bregman projections and of the alternating algorithm
Christian Bargetz, Emir Medjic
We study the alternating algorithm for the computation of the metric projection onto the closed sum of two closed subspaces in uniformly convex and uniformly smooth Banach spaces.…