Convergence theorems of iterative sequences for generalized equilibrium problems involving strictly pseudocontractive mappings in Hilbert spaces. (English) Zbl 1325.47124
Summary: In this paper, we consider the problem of finding a common element of the solution set of generalized equilibrium problems, of the solution set of variational inequalities and of the fixed point set of strictly pseudocontractive mappings by the shrinking projection method. Strong convergence theorems of common elements are established in real Hilbert spaces.
MSC:
47J25 | Iterative procedures involving nonlinear operators |
47H05 | Monotone operators and generalizations |
47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |