Halpern iteration for strongly quasinonexpansive mappings on a geodesic space with curvature bounded above by one
Yasunori Kimura, Kenzi Satô · Fixed Point Theory and Applications · 2013
In this paper, we deal with the Halpern iterative scheme for a strongly quasinonexpansive mapping in the setting of a complete geodesic space with curvature bounded above by one. Our result can be applied to the image recovery problem. We also consider the approximation of a fixed point of a nonexpansive mapping and obtain convergence theorems, one of which is a supplement of the result by Pia̧tek with an additional sufficient condition. MSC: 47H09.