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; PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |