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Iterative solutions of nonlinear equations
with Φ-strongly accretive operators
Shin Min Kang, Chi Feng, Zeqing Liu
Received: April 9, 2007; Accepted: August 1, 2007
Abstract. Suppose that X, is an arbitrary real Banach space and T : X ® X is a Lipschitz continuous
f-strongly accretive operator or uniformly continuous f-strongly accretive operator. We prove that under different conditions the three-step iteration methods with errors converge strongly to the solution of the equation Tx = f for a given f Î X.
Keywords: f-strongly accretive operators; three-step iteration method with errors; Banach spaces.
AMS Subject classification: Primary:  47H05, 47H10, 47H15;
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