The equivalence of Mann iteration and Ishikawa iteration for a Lipschitzian $ \psi $- uniformly pseudocontractive and $ \psi $- uniformly accretive maps

Abstract

We show that certain Ishikawa iteration and the corresponding Mann iteration schemes are equivalent when applied to Lipschitzian and $ \psi- $uniformly pseudocontractive or Lipschitzian $ \psi-$ uniformly accretive maps.