Iterative approximation method for various nonlinear mappings and equilibrium problems with numerical example. (English) Zbl 1382.47026
Summary: In this paper, we prove strong convergence of a new iterative algorithm for finding a common element of the set of fixed points of a finite family of nonspreading mappings, the set of solutions of a finite family of equilibrium problems and the set of solutions of two variational inequality problems in a real Hilbert space. In the last section, we give numerical example to support our result.
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 65J15 | Numerical solutions to equations with nonlinear operators |
Keywords:
nonspreading mapping; variational inequalities problem; equilibrium problem; fixed point problem; strong convergenceReferences:
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