Mixed Type Algorithms for Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

  • Tanakit Thianwan University of Phayao
Keywords: uniformly convex hyperbolic space, strong convergence, common fixed points, mixed type algorithm, asymptotically nonexpansive mapping


In this paper, a new mixed type iteration process for approximating a common fixed point of two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings is constructed. We then establish a strong convergence theorem under mild conditions in a uniformly convex hyperbolic space. The results presented here extend and improve some related results in the literature.
Nonlinear Analysis