p. 245 - 253 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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