Halpern iteration for a finite family of quasinonexpansive mappings on a complete geodesic space with curvature bounded above by one

Abstract

In this paper, we consider the Halpern iteration scheme for a finite family of quasinonexpansive mappings and then prove a strong convergence theorem to their common fixed point in a complete geodesic space with curvature bounded above by one.

14 pages

Cited by in corpus (1)

• Convergence to a common fixed point of a finite family of nonexpansive mappings on the unit sphere of a Hilbert space