Existence Results for Nonlinear Quasi-hemivariational Inequality Systems

Ayed E. Hashoosh; Mohsen Alimohammady; Ghufran A. Almusawi

doi:10.32792/utj.v11i4.65

Existence Results for Nonlinear Quasi-hemivariational Inequality Systems

Authors

Ayed E. Hashoosh Department of Mathematics, University of Thi-Qar
Mohsen Alimohammady Department of Mathematics, University of Mazandaran
Ghufran A. Almusawi Department of Mathematics, University of Thi-Qar

DOI:

https://doi.org/10.32792/utj.v11i4.65

Keywords:

Quasi-hemivariational inequality; Clarkes generalized gradient; locally Lipschitz functional; equilibrium problems. Mathematics subject classification 2010: 47H04; 47H05; 47J20; 49J53; 26D12.

Abstract

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.

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Published

2019-04-22

How to Cite

Ayed E. Hashoosh, Mohsen Alimohammady, & Ghufran A. Almusawi. (2019). Existence Results for Nonlinear Quasi-hemivariational Inequality Systems. University of Thi-Qar Journal, 11(4), 90–109. https://doi.org/10.32792/utj.v11i4.65