Mixed Type Algorithms for Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

Tanakit Thianwan

Abstract

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.

Keywords

uniformly convex hyperbolic space, strong convergence, common fixed points, mixed type algorithm, asymptotically nonexpansive mapping

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