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On convergence theorem of a finite family of nonlinear mappings in uniformly convex metric spaces

Author(s)
Kangtunyakarn, Atid
Date Issued
January 1, 2018
Type
Article
Abstract
In this paper, we introduce the S-mapping generated by a finite family of nonexpansive mapping and real numbers in convex metric space by using concept of the S-mapping defined by Kangtunyakarn and Suantai [1]. Then, we prove convergence of Ishikawa iteration generated by the S-mapping to a common fixed point of a finite family of nonexpansive mappings in uniformly convex metric space.
Citation
Journal of Computational Analysis and Applications, 24(2), 382-391, 2018
Subjects

Convex metric space

Nonexpansive mapping

S-mapping

Metrics
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