A counterexample to the new iterative scheme of Rezapour et al.: Some discussions and corrections

Abstract

<abstract><p>In this paper, we show a counterexample to the new iterative scheme introduced by Rezapour et al. in "A new modified iterative scheme for finding common fixed points in Banach spaces: application in variational inequality problems" <sup>[<xref ref-type="bibr" rid="b2">2</xref>]</sup>. We propose a modified iteration to conclude the convergence result. Moreover, some of our results are established under a weaker assumption.</p></abstract>