Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی‎Ayed E. ‎‎Hashoosh‎ 1 , M. Alimohammady‎ 2
1 - Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq.
2 - Department of Mathematics, University of Mazandran, Babolsar, Iran.
کلید واژه: Set-valued operator, Clarke's generalized gradian, Generalized monotonicity, Variational-hemivariational in, Differential inclusion.,
چکیده مقاله :
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.
