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

نویسندگان
Agwu, Lmo Kalu ID 1
Igbokwe, Donatus Ikechi ID 2

1 Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria

2 Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria

doi
10.22075/ijnaa.2021.22923.2432
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