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Common Solutions of an Iterative Scheme for Variational Inclusions, Equilibrium Problems, and Fixed Point Problems
Journal of Inequalities and Applications volume 2008, Article number: 720371 (2008)
Abstract
We introduce an iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse strongly monotone mappings, the set of solutions of an equilibrium problem, and the set of fixed points of a nonexpansive mapping. We obtain a strong convergence theorem for the sequences generated by these processes in Hilbert spaces. The results in this paper unify, extend, and improve some well-known results in the literature.
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Peng, JW., Wang, Y., Shyu, D.S. et al. Common Solutions of an Iterative Scheme for Variational Inclusions, Equilibrium Problems, and Fixed Point Problems. J Inequal Appl 2008, 720371 (2008). https://doi.org/10.1155/2008/720371
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DOI: https://doi.org/10.1155/2008/720371