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Keywords = systems of time-dependent generalized hemivariational inequalities

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14 pages, 288 KiB  
Article
The Solvability of Generalized Systems of Time-Dependent Hemivariational Inequalities Enjoying Symmetric Structure in Reflexive Banach Spaces
by Lu-Chuan Ceng, Yi-Xuan Fu, Jie Yin, Liang He, Long He and Hui-Ying Hu
Symmetry 2021, 13(10), 1801; https://doi.org/10.3390/sym13101801 - 27 Sep 2021
Cited by 9 | Viewed by 2026
Abstract
In real reflexive Banach spaces, let the GSTDHVI, SHVI, DVIP, VIT, and KKM represent a generalized system of time-dependent hemivariational inequalities, a system of hemivariational inequalities, a derived vector inclusion problem, Volterra integral term, and Knaster–Kuratowski–Mazurkiewicz, respectively, where the GSTDHVI consists of two [...] Read more.
In real reflexive Banach spaces, let the GSTDHVI, SHVI, DVIP, VIT, and KKM represent a generalized system of time-dependent hemivariational inequalities, a system of hemivariational inequalities, a derived vector inclusion problem, Volterra integral term, and Knaster–Kuratowski–Mazurkiewicz, respectively, where the GSTDHVI consists of two parts which are of symmetric structure mutually. By virtue of the surjectivity theorem for pseudo-monotonicity mappings and the Banach contraction mapping principle, instead of the KKM theorems exploited by other authors in recent literature for a SHVI, we consider and study a GSTDHVI with VITs. Under quite mild assumptions, it is shown that there exists only a solution to the investigated problem via demonstrating that a DVIP with VIT is solvable. Full article
(This article belongs to the Special Issue Nonlinear Analysis and Its Applications in Symmetry)
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