5 citations · 8 across the 4 of their papers we have counts for
5 papers
On the Karlsson-Nussbaum conjecture for resolvents of nonexpansive mappings
Aleksandra Huczek, Andrzej Wiśnicki
Let be a bounded convex domain and a -Lipschitz mapping with respect to the Hilbert metric on satisfying condition $d(sx+(1-…
Wolff-Denjoy theorems in geodesic spaces
Aleksandra Huczek, Andrzej Wiśnicki
We show a Wolff-Denjoy type theorem in complete geodesic spaces in the spirit of Beardon's framework that unifies several results in this area. In particular, it applies to strictl…
Applications of uniform asymptotic regularity to fixed point theorems
Sławomir Borzdyński, Andrzej Wiśnicki
We show that there are no nontrivial surjective uniformly asymptotically regular mappings acting on a metric space and derive some consequences of this fact. In particular, we prov…
Hyper-extensions in metric fixed point theory
Andrzej Wiśnicki
We apply a modern axiomatic system of nonstandard analysis in metric fixed point theory. In particular, we formulate a nonstandard iteration scheme for nonexpansive mappings and pr…
Hölder continuous retractions and amenable semigroups of uniformly Lipschitzian mappings in Hilbert spaces
Andrzej Wiśnicki
Suppose that S is a left amenable semitopological semigroup. We prove that if is a uniformly k-Lipschitzian semigroup on a bounded closed and convex subset C of…