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

Abstract

In this paper, we consider the CQ projection method and the shrinking projection method given by a finite family of nonexpansive mappings of the unit sphere of a real Hilbert space, and prove strong convergence theorems to common fixed points of the mappings.

11 pages

References in corpus (1)

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