The Split Feasibility Problem with Some Projection Methods in Banach Spaces

Toshiharu Kawasaki and Hiroko Manaka

Abstract and Applied Analysis, 2020, vol. 2020, issue 1

Abstract: In this paper, we study the split feasibility problem in Banach spaces. At first, we prove that a solution of this problem is a solution of the equivalent equation defined by using a metric projection, a generalized projection, and sunny generalized nonexpansive retraction, respectively. Then, using the hybrid method with these projections, we prove strong convergence theorems in mathematical programing in order to find a solution of the split feasibility problem in Banach spaces.

Date: 2020
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https://doi.org/10.1155/2020/2913087

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:2913087

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