Weak Convergence Theorems for Finding Common Elements of Finite Sets in Banach Spaces
نویسندگان
چکیده
In this paper, we deal with the problem for finding a common element of finite sets in a Banach space. We first prove that an operator given by a convex combination of sunny generalized nonexpansive retractions in a Banach space is asymptotically regular. Using this result, we obtain a weak convergence theorem which is connected with the problem of image recovery. Further, using another weak convergence theorem, we prove a weak convergence theorem of Mann’s type for finding a common element of finite sets in a Banach space.
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