A comparative study on some recent iterative schemes
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CitationDogan, K. (2019). A comparative study on some recent iterative schemes. Journal of Nonlinear and Convex Analysis, 20(11), 2411-2423.
In this paper, we introduce a new iterative scheme for approximating fixed point of contraction mappings. We show that this iterative scheme has converged to the fixed point of contraction mappings. Also, we prove that the newly defined iterative scheme has converged faster than some known iterative schemes, in the sense of Zalinescu (2018). Moreover, we prove that some data dependence have resulted in different iterative schemes. We present some illustrative numerical examples to validate the theoretical results obtained herein.