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Research Article | Open Access

Approximate controllability of evolution hemivariational inequalities under nonlocal conditions

Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
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Abstract

This article utilizes fixed-point theory and nonsmooth analysis to study the existence and approximate controllability of mild solutions for a class of nonlinear evolution hemivariational inequalities with nonlocal conditions in Hilbert spaces. In fact, our main results encompass a broader range of related issues. Finally, we use an example to illustrate that our results are valuable.

Keywords

approximate controllabilitygeneralized gradientnonlocal problem
CLC number: Primary 35R70; Secondary 49J53

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AIMS Mathematics
Volume 10 Issue 2,
February 2025
Pages 3581-3596
DOI: 10.3934/math.2025165

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Cite this article:
Jia Y. Approximate controllability of evolution hemivariational inequalities under nonlocal conditions. AIMS Mathematics, 2025, 10(2): 3581-3596. https://doi.org/10.3934/math.2025165

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Received: 26 November 2024
Revised: 13 February 2025
Accepted: 19 February 2025
Published: 15 February 2025
©2025 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)