Finding Common Fixed Points of a Countable Family of Nonexpansive Mappings in a Banach Space
نویسندگان
چکیده
The main purpose of this paper is to study an iteration procedure for finding a common fixed point of a countable family of nonexpansive mappings in Banach spaces. We introduce a Mann type iteration procedure. Then we prove that such a sequence converges weakly to a common fixed point of a countable family of nonexpansive mappings. Moreover, we apply our result to the problem of finding a common fixed point of a pair of nonexpansive mappings and the problem of finding a common solution of the fixed point problem and the variational inequality problem.
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