A projection approximate proximal algorithm for maximal monotone operators. (Chinese. English summary) Zbl 1174.47356
Summary: This paper presents an approximate proximal algorithm for finding the zero of a maximal monotone operator in Hilbert space, whose error criterion is weaker than that in the literature. It is proved that the sequence generated by this algorithm converges weakly to the zero point of the maximal monotone operator. This is applied to solve the variational inequality problem involving a monotone operator.
MSC:
47H05 | Monotone operators and generalizations |
47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
49J40 | Variational inequalities |