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On Approximation of the Combination of Variational Inequality Problem and Equilibrium Problem for Nonlinear Mappings
Author(s)
Suwannaut, Sarawut
Date Issued
December 1, 2021
Type
Article
Abstract
Using the concept of the combination of equilibrium problem, we introduce the combination of variational inequality problem for a finite family of inverse-strongly monotone mappings. Under some control conditions, we prove the strong convergence theorem for these nonlinear problems and fixed points of nonspreading mapping. Finally, we give numerical examples in two-dimensional space of real numbers in order to compare numerical results between the combination of variational inequality problem and the variational inequality problem.
Citation
Thai Journal of Mathematics, 19(4), 1477-1498, 2021