Upper error bounds of DG-functions for history-dependent variational-hemivariational inequalities
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Bibliographic record
Abstract
The aim of this paper is to study the difference gap function (for brevity, DG-function) and upper error bounds for an abstract class of variational-hemivariational inequalities with history-dependent operators (for brevity, HDVHIs).First, we propose a new concept of gap functions to the HDVHIs and consider the regularized gap function (for brevity, RG-function) for the HDVHIs using the optimality condition for the concerning minimization problem.Then, the DG-function for the HDVHIs depending on these RG-functions is constructed.Finally, we establish upper error bounds for the HDVHIs controlled by the RG-function and the DG-function under suitable conditions.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
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