Modified Inertial Subgradient Extragradient Method with Regularization for Variational Inequality and Null Point Problems

Yanlai Song and Omar Bazighifan
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Yanlai Song: College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China
Omar Bazighifan: Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy

Mathematics, 2022, vol. 10, issue 14, 1-17

Abstract: The paper develops a modified inertial subgradient extragradient method to find a solution to the variational inequality problem over the set of common solutions to the variational inequality and null point problems. The proposed method adopts a nonmonotonic stepsize rule without any linesearch procedure. We describe how to incorporate the regularization technique and the subgradient extragradient method; then, we establish the strong convergence of the proposed method under some appropriate conditions. Several numerical experiments are also provided to verify the efficiency of the introduced method with respect to previous methods.

Keywords: Hilbert space; strong convergence; regularization method; subgradient extragradient method; monotone operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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