Iterative method for solving split common fixed point problem of asymptotically demicontractive mappings in Hilbert spaces

Abstract

<p style='text-indent:20px;'>In this paper, we present a new algorithm for solving split common fixed point problem for asymptotically demicontractive mapping in two real Hilbert spaces. Under some mild conditions, we prove that the proposed method converges strongly to a solution of the problem. We give examples to illustrate that the class of asymptotically demicontractive mappings and the class of demicontractive mappings are independent. Moreover, we give numerical experiments to show the efficiency and applicability of our method in comparison with a related method in the literature. The results obtained unify, improve and extend so many related results in the literature in this direction.</p>