Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps
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Published:
Sep 1, 2019
Keywords:
Banach space, Common fixed points, Strong convergence, Total asymptotically quasi-nonexpansive map, Weak convergence.
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Abstract
Throughout this paper, a generic iteration algorithm for a finite family of total asymptotically quasi-nonexpansive maps in uniformly convex Banach space is suggested. As well as weak / strong convergence theorems of this algorithm to a common fixed point are established. Finally, illustrative numerical example by using Matlab is presented.
Received 20/8/2018,
Accepted 12/3/2019,
Published 1/9/2019
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How to Cite
1.
Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps. Baghdad Sci.J [Internet]. 2019 Sep. 1 [cited 2024 Apr. 23];16(3):0654. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3947
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article
How to Cite
1.
Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps. Baghdad Sci.J [Internet]. 2019 Sep. 1 [cited 2024 Apr. 23];16(3):0654. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3947
