Error bounds for a class of history-dependent variational inequalities controlled by D-gap functions

In the present paper, we are concerned with investigating error bounds for history-dependent variational inequalities controlled by difference gap (for brevity, D-gap) functions. First, recall a class of elliptic involving operators HDVI). Then, introduce new concept functions to HDVI and propose regularized function via optimality condition concerning minimization problem. Consequently, D-gap depends on these is established. Finally, derived under suitable conditions.