@article{31282e4d73344cfa85e3f619cc3ca00b,
title = "BREGMAN SUBGRADIENT EXTRAGRADIENT METHOD WITH MONOTONE SELF-ADJUSTMENT STEPSIZE FOR SOLVING PSEUDO-MONOTONE VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS",
abstract = "Using the concept of Bregman divergence, we propose a new sub-gradient extragradient method for approximating a common solution of pseudo-monotone and Lipschitz continuous variational inequalities and fixed pointproblem in real Hilbert spaces. The algorithm uses a new self-adjustmentrule for selecting the stepsize in each iteration and also, we prove a strongconvergence result for the sequence generated by the algorithm without priorknowledge of the Lipschitz constant.",
keywords = "Bregman divergence, Extragradient, Fixed point, Self adjustment step-size, Subgradient, Variational inequalites",
author = "Jolaoso, {Lateef Olakunle} and Maggie Aphane",
note = "Funding Information: Acknowledgement: The authors acknowledge with thanks, the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University for making their facilities available for the research. This first author is supported by the Postdoctoral research grant from the Sefako Makgatho Health Sciences University, South Africa. Funding Information: The authors acknowledge with thanks, the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University for making their facilities available for the research. This first author is supported by the Postdoctoral research grant from the Sefako Makgatho Health Sciences University, South Africa Publisher Copyright: {\textcopyright} 2022, Journal of Industrial and Management Optimization. All Rights Reserved.",
year = "2022",
month = mar,
doi = "10.3934/jimo.2020178",
language = "English",
volume = "18",
pages = "773--794",
journal = "Journal of Industrial and Management Optimization",
issn = "1547-5816",
publisher = "American Institute of Mathematical Sciences",
number = "2",
}