TY  - JOUR
T1  - Controllability and Accumulation of Errors Arising in a General Iteration Method
AU  - Gürsoy, Faik
AU  - Khan, Abdul Rahim
AU  - Doğan, Kadri
PY  - 2021
DA  - June
Y2  - 2021
DO  - 10.33401/fujma.812274
JF  - Fundamental Journal of Mathematics and Applications
JO  - Fundam. J. Math. Appl.
PB  - Fuat USTA
WT  - DergiPark
SN  - 2645-8845
SP  - 77
EP  - 82
VL  - 4
IS  - 2
LA  - en
AB  - In this paper, we propose and analyze a three-step general iteration method which is a special case of an iteration method proposed in (S. Thianwan and S. Suantai, Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings, Comput. Math. Appl. 52 (2006), 1107-1118). Here we intend to study directly the accumulation, estimation and control of random errors in the newly proposed general iteration method. We give conditions under which the accumulated-error in our iteration method is bounded and controllable in a permissible range.
KW  - Error Analysis
KW  - Random Errors
KW  - TS iteration method
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UR  - https://doi.org/10.33401/fujma.812274
L1  - https://dergipark.org.tr/en/download/article-file/1351240
ER  -