Strong Convergence Theorems for Family of Nonexpansive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems
2011 ◽
Vol 2011
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pp. 1-22
Keyword(s):
We introduce a new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of nonexpansive mappings, the set of common solutions to a system of generalized mixed equilibrium problems, and the set of solutions to a variational inequality problem in a real Hilbert space. We then prove strong convergence of the scheme to a common element of the three sets. We give some applications of our results. Our results extend important recent results.
2011 ◽
Vol 2011
◽
pp. 1-25
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2011 ◽
Vol 54
(9-10)
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pp. 2259-2276
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2011 ◽
Vol 2011
◽
pp. 1-16
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