p. 285 - 298 Almost Stable Iteration Schemes for Local Strongly Pseudocontractive and Local Strongly Accretive Operators in Real Uniformly Smooth Banach Spaces Zeqing Liu, Yuguang Xu and Shin Min Kang Received: July 4, 2007; Revised: January 15, 2008; Accepted: February 04, 2008 Abstract. In this paper we establish the strong convergence and almost stability of the Ishikawa iteration methods with errors for the iterative approximations of either fixed points of local strongly pseudocontractive operators or solutions of nonlinear operator equations with local strongly accretive type in real uniformly smooth Banach spaces. Our convergence results extend some known results in the literature. Keywords: Local strongly accretive operator; local strongly pseudocontractive operator; Ishikawa iteration sequence with errors; fixed point; convergence; almost stability; nonempty bounded closed convex subset; real uniformly smooth Banach space AMS Subject classification: Primary: 47H06, 47H10, 47H15, 47H17 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 |