Weak Stability of Ishikawa Iteration for Strongly Demicontractive Mappings in Hilbert Spaces

Abstract

In this article, we establish a weak stability theorem for the Ishikawa iteration in Hilbert spaces. Moreover, a strongly demicontractive mapping  is presented to illustrate that the Ishikawa iteration is weakly T-stable but not T-stable. Our results are new and extend several known results.