A regularization method for the proximal point algorithm. (English) Zbl 1131.90062
Summary: A regularization method for the proximal point algorithm of finding a zero for a maximal monotone operator in a Hilbert space is proposed. Strong convergence of this algorithm is proved.
MSC:
| 90C30 | Nonlinear programming |
| 49J40 | Variational inequalities |
| 47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
| 65J15 | Numerical solutions to equations with nonlinear operators |
Keywords:
maximal monotone operator; projection; proximal point algorithm; regularization method; resolvent identity; strong convergenceReferences:
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