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Research Article | Open Access

Self adaptive alternated inertial algorithm for solving variational inequality and fixed point problems

Yuanheng Wang( ), Chenjing Wu, Yekini Shehu, Bin Huang
School of Mathematical Science, Zhejiang Normal University, Jinhua 321004, China
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Abstract

We introduce an alternated inertial subgradient extragradient algorithm of non-Lipschitz and pseudo-monotone operators to solve variational inequality and fixed point problems. We also demonstrated that, under certain conditions, the sequence produced by our algorithm exhibits weak convergence. Moreover, some numerical experiments have been proposed to compare our algorithm with previous algorithms in order to demonstrate the effectiveness of our algorithm.

Keywords

fixed pointself adaptive stepsizealternated inertialvariational inequality
CLC number: 47H04, 47H09, 47H10, 65K10

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 9705-9720
DOI: 10.3934/math.2024475

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Cite this article:
Wang Y, Wu C, Shehu Y, et al. Self adaptive alternated inertial algorithm for solving variational inequality and fixed point problems. AIMS Mathematics, 2024, 9(4): 9705-9720. https://doi.org/10.3934/math.2024475

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Received: 13 January 2024
Revised: 01 March 2024
Accepted: 07 March 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)