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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.
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