Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces
Summary: We introduce a new three-step iteration scheme and prove that this new iteration scheme is convergent to fixed points of contractive-like operators. Also, by providing an example, we show that our new iteration method is faster than another iteration method due to \textit{S. Suantai} [J. Math. Anal. Appl. 311, No. 2, 506--517 (2005; Zbl 1086.47057)]. Furthermore, it is shown that this new iteration method is equivalent to some other iteration methods in the sense of convergence. Finally, it is proved that this new iteration method is \(T\)-stable.
scientific article; zbMATH DE number 6307002
scientific article