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

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.

Keywords:

strong convergence , DI-iterative scheme , Chugh-DI iterative scheme , IH-iterative scheme , stability , Contractive operator , fixed point , normed linear space