Shrinking projection methods for a family of maximal monotone operators. (English) Zbl 1261.47081
Summary: We deal with a common zero problem for a countable family of maximal monotone operators. Using the shrinking projection method, we obtain strong convergence of an iterative sequence. This result can be applied to a system of equilibrium problems and the iterative sequence converges strongly to their common solution.
MSC:
47J25 | Iterative procedures involving nonlinear operators |
47H05 | Monotone operators and generalizations |