A Hybrid Viscosity Approximation Method for a Common Solution of a General System of Variational Inequalities,an Equilibrium Problem,and Fixed Point Problems |
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Authors: | Maryam Yazdi & Saeed Hashemi Sababe |
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Abstract: | In this paper, we introduce a new iterative method based on the hybrid viscosity approximation method for finding a common element of the set of solutions of a general system of variational inequalities, an equilibrium problem, and the set of common fixed points of a countable family of nonexpansive mappings in a Hilbert space. We prove a strong convergence theorem of the proposed iterative scheme under some suitable conditions on the parameters. Furthermore, we apply our main result for W-mappings. Finally, we give two numerical results to show the consistency and accuracy of the scheme. |
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Keywords: | Equilibrium problem Iterative method Fixed point Variational inequality. |
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