Open AccessOn the Shrinking Projection Method for the Split Feasibility Problem in Banach Spaces
Author(s) -
Huanhuan Cui,
Haixia Zhang
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/6689983
Subject(s) - mathematics , banach space , projection (relational algebra) , projection method , iterative method , mathematical optimization , mathematical analysis , dykstra's projection algorithm , algorithm
In this paper, we consider the split feasibility problem in Banach spaces. By applying the shrinking projection method, we propose an iterative method for solving this problem. It is shown that the algorithm under two different choices of the stepsizes is strongly convergent to a solution of the problem.
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