An inertial forward-backward method with self-adaptive step sizes for finding minimum-norm solutions of inclusion and split equilibrium problems

G. N. Ogwo; T. O. Alakoya; O. T. Mewomo

doi:10.23952/asvao.4.2022.2.04

An inertial forward-backward method with self-adaptive step sizes for finding minimum-norm solutions of inclusion and split equilibrium problems

G. N. Ogwo, T. O. Alakoya, O. T. Mewomo^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

In this paper, the problem of finding a common solution of variational inclusion and split equilibrium problems is studied. A modified inertial forward-backward splitting algorithm with selfadaptive step sizes is introduced for solving the problem, and the strong convergence of the algorithm is established in Hilbert spaces. Applications and examples are provided to support our main results.

Original language	English
Pages (from-to)	185-206
Number of pages	22
Journal	Applied Set-Valued Analysis and Optimization
Volume	4
Issue number	2
DOIs	https://doi.org/10.23952/asvao.4.2022.2.04
Publication status	Published - 01 Aug 2022
Externally published	Yes

Bibliographical note

Funding Information:
The first author acknowledges with thanks the scholarship and financial support from the University of KwaZulu-Natal (UKZN) Doctoral Scholarship. The research of the second author was wholly supported by the University of KwaZulu-Natal, Durban, South Africa Postdoctoral Fellowship. He is grateful to the support. The third author was supported by the National Research Foundation (NRF) of South Africa Incentive Funding for Rated Researchers (Grant Number 119903).

Publisher Copyright:
© 2022 Applied Set-Valued Analysis and Optimization.

Keywords

Forward-backward splitting algorithm
Inertial method
Minimum-norm solutions
Split equilibrium problem
Variational inclusion

ASJC Scopus subject areas

Analysis
Numerical Analysis
Mathematics (miscellaneous)
Modelling and Simulation
Control and Optimization
Applied Mathematics

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10.23952/asvao.4.2022.2.04Licence: Unspecified

Cite this

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abstract = "In this paper, the problem of finding a common solution of variational inclusion and split equilibrium problems is studied. A modified inertial forward-backward splitting algorithm with selfadaptive step sizes is introduced for solving the problem, and the strong convergence of the algorithm is established in Hilbert spaces. Applications and examples are provided to support our main results.",

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doi = "10.23952/asvao.4.2022.2.04",

language = "English",

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AU - Alakoya, T. O.

AU - Mewomo, O. T.

N1 - Funding Information: The first author acknowledges with thanks the scholarship and financial support from the University of KwaZulu-Natal (UKZN) Doctoral Scholarship. The research of the second author was wholly supported by the University of KwaZulu-Natal, Durban, South Africa Postdoctoral Fellowship. He is grateful to the support. The third author was supported by the National Research Foundation (NRF) of South Africa Incentive Funding for Rated Researchers (Grant Number 119903). Publisher Copyright: © 2022 Applied Set-Valued Analysis and Optimization.

PY - 2022/8/1

Y1 - 2022/8/1

N2 - In this paper, the problem of finding a common solution of variational inclusion and split equilibrium problems is studied. A modified inertial forward-backward splitting algorithm with selfadaptive step sizes is introduced for solving the problem, and the strong convergence of the algorithm is established in Hilbert spaces. Applications and examples are provided to support our main results.

AB - In this paper, the problem of finding a common solution of variational inclusion and split equilibrium problems is studied. A modified inertial forward-backward splitting algorithm with selfadaptive step sizes is introduced for solving the problem, and the strong convergence of the algorithm is established in Hilbert spaces. Applications and examples are provided to support our main results.

KW - Forward-backward splitting algorithm

KW - Inertial method

KW - Minimum-norm solutions

KW - Split equilibrium problem

KW - Variational inclusion

U2 - 10.23952/asvao.4.2022.2.04

DO - 10.23952/asvao.4.2022.2.04

M3 - Article

AN - SCOPUS:85135265494

SN - 2562-7775

VL - 4

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JO - Applied Set-Valued Analysis and Optimization

JF - Applied Set-Valued Analysis and Optimization

IS - 2

ER -

An inertial forward-backward method with self-adaptive step sizes for finding minimum-norm solutions of inclusion and split equilibrium problems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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