Inertial accelerated algorithms for solving split feasibility with multiple output sets in Hilbert spaces

Chibueze C. Okeke, Lateef O. Jolaoso, Yekini Shehu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we propose two inertial accelerated algorithms which do not require prior knowledge of operator norm for solving split feasibility problem with multiple output sets in real Hilbert spaces. We prove weak and strong convergence results for approximating the solution of the considered problem under certain mild conditions. We also give some numerical examples to demonstrate the performance and efficiency of our proposed algorithms over some existing related algorithms in the literature.

Original languageEnglish
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Hilbert space
  • inertial technique
  • metric projection
  • split feasibility problem

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