Iterative approximation method for various nonlinear mappings and equilibrium problems with numerical example

作者：Khuangsatung Wongvisarut; Kangtunyakarn Atid^*

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2017, 111(1): 65-88.

DOI：10.1007/s13398-016-0276-4

• Nonspreading mapping
• Variational inequalities problem
• Equilibrium problem
• Fixed point problem

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 the numerical example to support our result.