Abstract

AbstractThe purpose of the paper is to study the proximal split feasibility problems. For solving the problems, we present new self-adaptive algorithms with the regularization technique. By using these algorithms, we give some strong convergence theorems for the proximal split feasibility problems.

Highlights

  • The split feasibility problem has received much attention due to its applications in signal processing and image reconstruction [ ] with particular progress in intensity modulated therapy [ ]

  • We focus on the following minimization problem: min f x† + gλ Ax†, ( . )

  • We introduce two lemmas for our main results in this paper

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Summary

Introduction

The split feasibility problem has received much attention due to its applications in signal processing and image reconstruction [ ] with particular progress in intensity modulated therapy [ ]. Our purpose of the present manuscript is to study the more general case of the proximal split minimization problems by introducing new algorithms with the regularization technique.

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