General convergence analysis for two-step projection methods and applications to variational problems.

*(English)*Zbl 1099.47054Projection 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.

Reviewer: Jeon Sheok Ume (Changwon)

##### MSC:

47J20 | Variational and other types of inequalities involving nonlinear operators (general) |

47J25 | Iterative procedures involving nonlinear operators |

##### Keywords:

general two-step model; system of strongly monotonic nonlinear variational inequalities; projection methods; convergence of two-step projection methods
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\textit{R. U. Verma}, Appl. Math. Lett. 18, No. 11, 1286--1292 (2005; Zbl 1099.47054)

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