Some well-posedness equivalent results for a generalized split variational-hemivariational inequality

Abstract

In this paper, we introduce a generalized split variational-hemivariational inequality in Banach space and are devoted to discussing the equivalence of this inequality with its derived inclusion problem and associated problem. Under very mild assumptions, we prove that the three problems contain the same solution. Moreover, we also show the equivalence of the strong and weak well-posedness of these problems. Finally, we give some equivalent conditions for the strong and weak well-posedness.