Kangtunyakarn, Atid

Preferred name

Kangtunyakarn, Atid

Alternative Name

Kangtunyakarn, A.

Main Affiliation

School of Science

Email

atid.ka@kmitl.ac.th

Now showing 1 - 2 of 2

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Modified Halpern’s iteration without assumptions on fixed point set in metric space
(2019-01-01)
Cheawchan, Kanyarat
;
Kangtunyakarn, Atid
By improving Halpern’s iteration and studing convergence theorem of [1] and [2] in a complete uniformly convex metric space, we prove convergence theorem of a finite family of nonexpansive mappings without the assumption that “the set of common fixed points of nonexpansive mappings is nonempty”. We also introduce a mapping in metric space using a concept of the S-mapping defined by [3] for proving our main results.
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On convergence theorem of a finite family of nonlinear mappings in uniformly convex metric spaces
(2018-01-01)
Kangtunyakarn, Atid
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.