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We show that the Ishikawa iteration and the corresponding Manniteration are equivalent when applied to ψ-uniformlypseudocontractive or ψ-uniformly accretive maps

international journal of mathematics and mathematical sciences

The equivalence of Mann iteration and Ishikawa iteration for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\psi$" id="E1"><mml:mi>ψ</mml:mi></mml:math>-uniformly pseudocontractive or<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\psi$" id="E2"><mml:mi>ψ</mml:mi></mml:math>-uniformly accretive maps

The equivalence of Mann iteration and Ishikawa iteration forψ-uniformly pseudocontractive orψ-uniformly accretive maps