Gradient Methods with Selection Technique for the Multiple-Sets Split Equality Problem

Dianlu Tian, Lining Jiang and Luoyi Shi
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Dianlu Tian: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
Lining Jiang: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
Luoyi Shi: Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China

Mathematics, 2019, vol. 7, issue 10, 1-10

Abstract: The inverse problem is one of the four major problems in computational mathematics. There is an inverse problem in medical image reconstruction and radiotherapy that is called the multiple-sets split equality problem. The multiple-sets split equality problem is a unified form of the split feasibility problem, split equality problem, and split common fixed point problem. In this paper, we present two iterative algorithms for solving it. The suggested algorithms are based on the gradient method with a selection technique. Based on this technique, we only need to calculate one projection in each iteration.

Keywords: multiple-sets split equality problem; split equality problem; selection technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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