A New Iterative Method for Finding Common Solutions of a System of Equilibrium Problems, Fixed-Point Problems, and Variational Inequalities
Keyword(s):
We introduce a new iterative scheme based on extragradient method and viscosity approximation method for finding a common element of the solutions set of a system of equilibrium problems, fixed point sets of an infinite family of nonexpansive mappings, and the solution set of a variational inequality for a relaxed cocoercive mapping in a Hilbert space. We prove strong convergence theorem. The results in this paper unify and generalize some well-known results in the literature.
2009 ◽
Vol 3
(4)
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pp. 719-733
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2013 ◽
Vol 2013
(1)
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pp. 221
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2011 ◽
Vol 2011
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pp. 1-23
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2010 ◽
Vol 2010
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pp. 1-18
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