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An extragradient method for mixed equilibrium problems and fixed point problems. (English) Zbl 1203.47086
The authors investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping as well as the set of solutions of a mixed equilibrium problem. An extragradient method for solving the mixed equilibrium and fixed point problems are employed and some strong convergence results are established for the iterative algorithm involved.
MSC:
47J25Iterative procedures (nonlinear operator equations)
47H10Fixed point theorems for nonlinear operators on topological linear spaces
49J20Optimal control problems with PDE (existence)
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