Abstract
In this paper, we prove some △-convergence theorems in a hyperbolic space. A mixed Agarwal-O’Regan-Sahu type iterative scheme for approximating a common fixed point of total asymptotically nonexpansive mappings is constructed. Our results extend some results in the literature.MSC:47H09, 49M05.
Highlights
1 Introduction and preliminaries In this paper, we work in the setting of hyperbolic spaces introduced by Kohlenbach [ ]
If a space satisfies only (I), it coincides with the convex metric space introduced by Takahashi [ ]
The concept of hyperbolic spaces in [ ] is more restrictive than the hyperbolic type introduced by Goebel [ ] since (I)-(III) together are equivalent to (X, d, W ) being a space of hyperbolic type in [ ]
Summary
Introduction and preliminariesIn this paper, we work in the setting of hyperbolic spaces introduced by Kohlenbach [ ]. A hyperbolic space is uniformly convex [ ] if for u, x, y ∈ X, r > and ∈ Where C is a nonempty closed and convex subset of a complete uniformly convex hyperbolic space X with monotone modulus of uniform convexity η.
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