Stability and convergence of new random approximation algorithms for random contractive-type operators in separable Hilbert spaces

Abstract

In this paper, new iterative schemes called Jungck-DI-Noor random iterative scheme and Jungck-DI-SP random iterative scheme are introduced and studied. Also, stability and convergence results were obtained without necessarily imposing sum conditions on the countably finite family of the control sequences and injectivity condition on the operators, which makes our schemes to be more desirable in applications than the ones studied in this paper and several others currently in the literature.