Title of article :
Perturbed absolute value variational inequalities
Author/Authors :
Ram ، Tirth Department of Mathematics - University of Jammu , Iqbal ، Mohd Department of Mathematics - University of Jammu , Kour ، Ravdeep Department of Mathematics - University of Jammu
Abstract :
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.
Keywords :
merit functions , error bounds , Projection operator , fixed point problem
Journal title :
International Journal of Nonlinear Analysis and Applications
Journal title :
International Journal of Nonlinear Analysis and Applications
