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 Suantai (2005). 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 isT-stable.
In this paper, we study existence and uniquennes of fixed points of operator F : X n → X where n is an arbitrary positive integer and X is partially ordered complete metric space.
The purpose of this work is to investigate types of convergence of sequences of functions in intuitionistic fuzzy normed spaces and some properties related with these concepts.
This paper concentrates on studying convergence and data dependence of AK iteration for the class of maps which was introduced by Berinde. Also, we will support our results with an example.
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