Strong Convergence Theorems for a Family of Relatively Nonexpansive Mappings in Banach Spaces
نویسندگان
چکیده
In this paper, we deal with the problem of finding a common fixed point of a family of relatively nonexpansive mappings. We, first of all, discuss the properties of strongly relatively nonexpansive mappings and show a strong convergence theorem for a sequence of relatively nonexpansive mappings under some conditions. Using this result, we obtain a strong convergence theorem for a finite family of relatively nonexpansive mappings. Furthermore, we apply our result to the problem of finding a zero of a maximal monotone operator.
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