Existence Results for Nonlinear Quasi-hemivariational Inequality Systems
Abstract
This paper aims at establishing the existence solutions of a non-standard quasi-hemivariational inequality‚ whose solutions are discussed in a subset K_n of a reflexive Banach space X_n for every n=(1‚i) ̅. 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.
Keywords
Quasi-hemivariational inequality, Clarkes generalized gradient, locally Lipschitz functional, equilibrium problems. Mathematics subject classification 2010: 47H04, 47H05, 47J20, 49J53, 26D12.Metrics