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Volume 5, Issue 3, 1 December 2023, Pages 347-367
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.
How to Cite this Article:
V.M. Tam, J.S. Chen, Upper error bounds of DG-functions for history-dependent variational-hemivariational inequalities, Appl. Set-Valued Anal. Optim. 5 (2023), 347-367.