Strong Convergence of Browder’s Type Iterations in CAT($\kappa$) Spaces

Pongsakorn Yotkaew

Abstract

The purpose of this paper is to present an existence and convergence theorem for a nonexpansive mapping on a complete geodesic space with curvature bounded above. A strong convergence theorem for Browder's type iterations of a nonexpansive mapping is derived. Moudafi's viscosity type methods with a spherical contraction are also discussed.