• Nonlinear Functional Analysis and Applications
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• 제24권2호
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• pp.207-220
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• 2019

In this paper, we established the existence and convergence solution of a system of hierarchical nonlinear mixed variational inequalities in Hilbert spaces.

• Korean Journal of Mathematics
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• 제24권3호
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• pp.495-524
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• 2016

In this paper, we propose an iterative algorithm for finding a common solution of a system of generalized equilibrium problems, a split equilibrium problem and a hierarchical fixed point problem over the common fixed points set of a finite family of nonexpansive mappings in Hilbert spaces. Furthermore, we prove that the proposed iterative method has strong convergence under some mild conditions imposed on algorithm parameters. The results presented in this paper improve and extend the corresponding results reported by some authors recently.