Convergence theorems for common fixed points of a finite family of total asymptotically nonexpansive nonself mappings in hyperbolic spaces

Zhang Lijuan

Abstract


Let C be a nonempty closed convex subset of a complete uniformly convex hyperbolic space X with monotone modulus of uniform convexity h. Let P : X –>C be the nonexpansive retraction. S1,S2, …,Sr :C->X be uniformly L-Lipschitzian and ({vn}, {un}, ξ)-total asymptotically nonexpansive nonself mappings. In this paper, we introduce and study an iterative process for finding common fixed points of the family {Sj}. Assume that F =⌒F(Sj), under certain conditions, strong and 4-convergence of the sequence are proved.


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How to Cite this Article:

Zhang Lijuan, Convergence theorems for common fixed points of a finite family of total asymptotically nonexpansive nonself mappings in hyperbolic spaces, Adv. Fixed Point Theory, 5 (2015), 433-447

Copyright © 2015 Zhang Lijuan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

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