A Class of Generalized Mixed Variational-Hemivariational Inequalities I: Existence and Uniqueness Results
Yunru Bai,
Stanislaw Migorski,
Shengda Zeng
Abstract:We investigate a generalized Lagrange multiplier system in a Banach space, called a mixed variational-hemivariational inequality (MVHVI, for short), which contains a hemivariational inequality and a variational inequality. First, we employ the Minty technique and a monotonicity argument to establish an equivalence theorem, which provides three different equivalent formulations of the inequality problem. Without compactness for one of operators in the problem, a general existence theorem for (MVHVI) is proved b… Show more
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