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Zbl 1131.90062
Xu, Hong-Kun
A regularization method for the proximal point algorithm. (English)
[J] J. Glob. Optim. 36, No. 1, 115-125 (2006). ISSN 0925-5001; ISSN 1573-2916/e

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 2000:
*90C30 Nonlinear programming
49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
65J15 Equations with nonlinear operators (numerical methods)

Keywords: maximal monotone operator; projection; proximal point algorithm; regularization method; resolvent identity; strong convergence

Cited in: Zbl 1165.49012

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