Existence results for a class of hemivariational inequalities involving the stable $(g,f,\alpha)$-quasimonotonicity

Zhenhai Liu, Biao Zeng

DOI: http://dx.doi.org/10.12775/TMNA.2016.002

Abstract


In this paper, by introducing a new concept of the stable (g; f; alpha)-quasimonotonicity and applying the properties of Clarke's generalized gradient and KKM technique, we show the existence results of solutions for hemivariational inequalities when the constraint set is compact, bounded and unbounded, respectively, which extends and improves several well-known results in many respects. In the last section, we also give an example to present the our main result.

Keywords


Existence results; hemivariational inequalities; Clarke's generalized gradient; KKM principle; stable (g; f; alpha)-quasimonotonicity

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