Existence Results for Nonlinear Quasi-hemivariational Inequality Systems
Keywords:Quasi-hemivariational inequality; Clarkes generalized gradient; locally Lipschitz functional; equilibrium problems. Mathematics subject classification 2010: 47H04; 47H05; 47J20; 49J53; 26D12.
This paper aims at establishing the existence solutions of a non-standard quasi-hemivariational inequality‚ whose solutions are discussed in a subset of a reflexive Banach space for every . In addition, we introduce two applications. The first one shows the relationship between our inequality problems and equilibrium problems. The second one applies the extend some results concerning nonlinear quasi-hemivariational inequalities.