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.


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Volume 14, Issue 12
December 2023
Pages 13-24
  • Receive Date: 02 March 2023
  • Revise Date: 26 April 2023
  • Accept Date: 02 June 2023