A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces. (English) Zbl 1311.90103
Summary: The main purpose of this paper is to introduce an iterative algorithm for equilibrium problems and split feasibility problems in Hilbert spaces. Under suitable conditions we prove that the sequence converges strongly to a common element of the set of solutions of equilibrium problems and the set of solutions of split feasibility problems. Our result extends and improves the corresponding results of some others.
MSC:
| 90C25 | Convex programming |
| 90C30 | Nonlinear programming |
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
Keywords:
equilibrium problems; split feasibility problems; strong convergence; bounded linear operator; fixed pointReferences:
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