Liu, Ruijuan; Zhang, Zihou A generalized steepest descent approximation for the zero of \(m\)-accretive operators. (Chinese. English summary) Zbl 1174.47393 Acta Anal. Funct. Appl. 10, No. 2, 170-174 (2008). Summary: A necessary and sufficient condition is proved for generalized steepest descent approximation to converge to the zero of \(m\)-accretive operators. Related results deal with the convergence of the scheme to fixed points of pseudocontractive maps. Some recent results are unified and extended. MSC: 47J25 Iterative procedures involving nonlinear operators 47H06 Nonlinear accretive operators, dissipative operators, etc. 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:accretive operators; uniformly smooth Banach space; uniformly convex Banach space; pseudocontractive map PDF BibTeX XML Cite \textit{R. Liu} and \textit{Z. Zhang}, Acta Anal. Funct. Appl. 10, No. 2, 170--174 (2008; Zbl 1174.47393)