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

Chibueze C. Okeke; Lateef O. Jolaoso; Yekini Shehu

doi:10.1515/ijnsns-2021-0116

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

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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 language	English
Pages (from-to)	769-790
Number of pages	22
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	24
Issue number	2
DOIs	https://doi.org/10.1515/ijnsns-2021-0116
Publication status	Published - 1 Apr 2023

Keywords

Hilbert space
inertial technique
metric projection
split feasibility problem

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10.1515/ijnsns-2021-0116

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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.",

keywords = "Hilbert space, inertial technique, metric projection, split feasibility problem",

author = "Okeke, {Chibueze C.} and Jolaoso, {Lateef O.} and Yekini Shehu",

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AB - 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.

KW - Hilbert space

KW - inertial technique

KW - metric projection

KW - split feasibility problem

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

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