Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application

‎This paper aims at establishing the existence and uniqueness of solutions for a nonstandard variational-hemivariational inequality. The solutions of this inequality are discussed in a subset K of a reflexive Banach space X. Firstly, we prove the existence of solutions in the case of bounded closed and convex subsets. Secondly, we also prove the case when K is compact convex subsets. Finally, we enhance the main results by the application of some differential ‎inclusions.

کلیدواژه ها:

Set-valued operator ، Clarke's generalized gradian ، Generalized monotonicity ، Variational-hemivariational inequality ، Differential ‎inclusion.‎