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General convergence analysis for two-step projection methods and applications to variational problems. (English) Zbl 1099.47054
Projection methods have played a signigicant role in the numerical resolution of variational inequalities based on their convergence analysis. In this paper, the author introduces general two-step projection methods and then applies them to the approximation solvability of a two-step strongly monotonic nonlinear variational inequality in a Hilbert space setting.

MSC:
47J20 Variational and other types of inequalities involving nonlinear operators (general)
47J25 Iterative procedures involving nonlinear operators
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