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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.