Fixed points and stability of new approximation algorithms for contractive-type operators in normed linear spaces

	Fixed points and stability of new approximation algorithms for contractive-type operators in normed linear spaces
International Journal of Nonlinear Analysis and Applications
مقاله 23، دوره 14، شماره 2، اردیبهشت 2023، صفحه 281-299 اصل مقاله (423.88 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22923.2432
نویسندگان
lmo Kalu Agwu^* ؛ Donatus Ikechi Igbokwe
Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia Abia State, Nigeria
چکیده
In this paper, new iterative schemes called DI-iterative scheme, Chugh-DI iterative scheme and IH-iterative scheme are introduced and studied. In addition, convergence and stability results were obtained without necessarily imposing 'sum conditions' on the iteration parameters, which, among other things, increase the bulkiness and complexity of computations as was the case for several works studied so far in the literature.
کلیدواژه‌ها
Strong convergence؛ DI-iterative scheme؛ Chugh-DI iterative scheme؛ IH-iterative scheme؛ Stability؛ Contractive operator؛ Fixed point؛ Normed linear space
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