Perturbed absolute value variational inequalities

Document Type : Research Paper


Department of Mathematics, University of Jammu, Jammu-180006, India



In this paper, we examine the perturbed absolute value variational inequalities (PAVVI), a new class of variational inequalities. For the (PAVVI), some new merit functions are established. We develop the error bounds for (PAVVI) using these merit functions. The results presented here recapture a number of previously established findings in the relevant fields because (PAVVI) include variational inequalities, the absolute value complementarity problem, and systems of absolute value equations as special cases.


Articles in Press, Corrected Proof
Available Online from 24 June 2023
  • Receive Date: 02 March 2023
  • Revise Date: 26 April 2023
  • Accept Date: 02 June 2023