Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings
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Abstract:
We prove a strong convergence result for a sequence generated by Halpern's type iteration for approximating a common fixed point of a countable family of quasi-Lipschitzian mappings in a real Hilbert space. Consequently, we apply our results to the problem of finding a common fixed point of asymptotically nonexpansive mappings, an equilibrium problem, and a variational inequality problem for continuous monotone mappings.
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Journal title
volume 38 issue 4
pages 1047- 1061
publication date 2012-12-15
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