TY  - JOUR
T1  - Stability of an Iterative Algorithm
AU  - Gürsoy, Faik
PY  - 2019
DA  - October
Y2  - 2019
JF  - Conference Proceedings of Science and Technology
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2651-544X
SP  - 18
EP  - 19
VL  - 2
IS  - 1
LA  - en
AB  - We prove that iterative algorithm (1.7) of [7] is weak $w^{2}-$stable w.r.t. an operator $T$ in the class of weak contraction mappings.
KW  - Fixed Point
KW  - Stability
KW  - Iterative algorithm
CR  - [1] V. Berinde, On the approximation of fixed points of weak contractive mappings, Carpathian J. Math., 19 (2003), 7-22.
CR  - [2] T. Cardinali, P. Rubbioni, A generalization of the Caristi fixed point theorem in metric spaces, Fixed Point Theory, 11 (2010), 3-10.
CR  - [3] I. Timis, On the weak stability of Picard iteration for some contractive type mappings and coincidence theorems, Int. J. Comput. Appl., 37 (2012), 9-13.
CR  - [4] V. Berinde, Summable almost stability of fixed point iteration procedures, Carpathian J. Math., 19 (2003), 81-88.
CR  - [5] A. R. Khan, F. Gürsoy, V. Kumar, Stability and data dependence results for Jungck–Khan iterative scheme, Turkish J. Math., 40 (2016), 631-640.
CR  - [6] L. Maru¸ster, ¸ S. M˘aru¸ster, On the error estimation and T-stability of the Mann iteration, J. Comput. Appl. Math., 276 (2015), 110-116.
CR  - [7] V. Karakaya, Y. Atalan, K. Do˘gan, N. El Houda Bouzara, Some fixed point results for a new three steps iteration process in Banach spaces, Fixed Point Theory, 18 (2017),
625-640.
UR  - https://dergipark.org.tr/tr/pub/cpost/issue//570197
L1  - https://dergipark.org.tr/tr/download/article-file/843394
ER  -