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

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

Issue

Vol. 11 No. 4 (2016)

Section

Articles