Strong convergence theorems for generalized mixed equilibrium problems, variational inequality problems and fixed point problems with pseudocontractive mappings. (English) Zbl 1466.47047
Summary: In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of fixed points of a Lipschitzian pseudocontractive mapping and the set of solutions of a finite family of variational inequality problems for inverse strongly monotone mappings in a real Hilbert space. Strong convergence theorem for the proposed scheme was established.
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
