Penalization and regularization for multivalued pseudo-monotone variational inequalities with Mosco approximation on constraint sets

  • Authors:

  • B. Djafari Rouhani;Akhtar A. Khan;Fabio Raciti

  • Affiliations:

  • Department of Mathematical Sciences, University of Texas at El Paso, El Paso, USA 79968;Department of Mathematics, University of Wisconsin-Barron County, Rice Lake, USA 54868 and Department of Mathematics and Computer Science, Northern Michigan University, Marquette, USA 49855---5340;Dipartimento di Matematica e Informatica, Università di Catania, Catania, Italy 95125

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2008

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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.