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A generalized steepest descent approximation for the zero of $$m$$-accretive operators. (Chinese. English summary) Zbl 1174.47393
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.