首页|STRONGLY CONVERGENT INERTIAL FORWARD-BACKWARD-FORWARD ALGORITHM WITHOUT ON-LINE RULE FOR VARIATIONAL INEQUALITIES

STRONGLY CONVERGENT INERTIAL FORWARD-BACKWARD-FORWARD ALGORITHM WITHOUT ON-LINE RULE FOR VARIATIONAL INEQUALITIES

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This paper studies a strongly convergent inertial forward-backward-forward al-gorithm for the variational inequality problem in Hilbert spaces.In our convergence analysis,we do not assume the on-line rule of the inertial parameters and the iterates,which have been assumed by several authors whenever a strongly convergent algorithm with an inertial extrapolation step is proposed for a variational inequality problem.Consequently,our proof arguments are different from what is obtainable in the relevant literature.Finally,we give numerical tests to confirm the theoretical analysis and show that our proposed algorithm is superior to related ones in the literature.

forward-backward-forward algorithminertial extrapolationvariational in-equalityon-line rule

姚永红、Abubakar ADAMU、Yekini SHEHU

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School of Mathematical Sciences,Tiangong University,Tianjin 300387,China

Center for Advanced Information Technology,Kyung Hee University,Seoul 0244 7,South Korea

Operational Research Center in Healthcare,Near East University,TRNC Mersion 10,Nicosia 99138,Turkey

Charles Chidume Mathematics Institute,African University of Science and Technology,Abuja 900107,Nigeria

School of Mathematical Sciences,Zhejiang Normal University,Jinhua 321004,China

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2024

10.1007/s10473-024-0210-3

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子：0.256
ISSN：0252-9602
年,卷(期)：2024.44(2)
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