An iterative algorithm for mixed equilibrium problems and variational inclusions approach to variational inequalities.
Liou, Yeong-Cheng (2010)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “On the system of nonlinear mixed implicit equilibrium problems in Hilbert spaces.”
An iterative algorithm for mixed equilibrium problems and variational inclusions approach to variational inequalities.
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In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a nonexpansive mapping, and the the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of a certain optimization problem related to a strongly positive bounded linear...
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