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Penalization and regularization for multivalued pseudo-monotone variational inequalities with Mosco approximation on constraint sets |
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| Authors: | B. Djafari Rouhani Akhtar A. Khan Fabio Raciti |
| Affiliation: | (1) Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, USA;(2) Department of Mathematics, University of Wisconsin-Barron County, 1800 College Drive, Rice Lake, WI 54868, USA;(3) Present address: Department of Mathematics and Computer Science, Northern Michigan University, 1401 Presque Isle Avenue, Marquette, MI 49855–5340, USA;(4) Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6–I, 95125 Catania, Italy |
| Abstract: | A coupling of penalization and regularization methods for a variational inequality with multi-valued pseudo-monotone operators is given. The regularization permits to include non-coercive operators. The effect of perturbation is also analyzed. This work is dedicated to the blessed memory of Professor Alex Rubinov. |
| Keywords: | Variational inequalities Regularization Pseudo-monotone |
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