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Perturbed absolute value variational inequalities | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 14، شماره 12، اسفند 2023، صفحه 13-24 اصل مقاله (371.68 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30076.4325 | ||
| نویسندگان | ||
| Tirth Ram* ؛ Mohd Iqbal؛ Ravdeep Kour | ||
| Department of Mathematics, University of Jammu, Jammu-180006, India | ||
| تاریخ دریافت: 11 اسفند 1401، تاریخ بازنگری: 06 اردیبهشت 1402، تاریخ پذیرش: 12 خرداد 1402 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| merit functions؛ error bounds؛ projection operator؛ fixed point problem | ||
| مراجع | ||
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