Existence of solutions to a new class of coupled variational-hemivariational inequalities
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Abstract
The objective of this paper is to introduce and study a complicated nonlinear system, called coupled variational-hemivariational inequalities, which is described by a highly nonlinear coupled system of inequalities on Banach spaces. We establish the nonemptiness and compactness of the solution set to the system. We apply a new proof based on a multivalued version of the Tychonoff fixed point principle in a Banach space combined with the generalized monotonicity arguments, and the elements of the nonsmooth analysis. Our results improve and generalize some earlier theorems obtained for a particular form of the system.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.000 |
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| Bibliometrics | 0.001 | 0.002 |
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| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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