Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings
نویسندگان
چکیده مقاله:
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.
منابع مشابه
iterative methods for finding nearest common fixed points of a countable family of quasi-lipschitzian mappings
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 co...
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عنوان ژورنال
دوره 38 شماره 4
صفحات 1047- 1061
تاریخ انتشار 2012-12-15
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