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

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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.

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Author notes

  1. Akhtar A. Khan

    Present address: Department of Mathematics and Computer Science, Northern Michigan University, 1401 Presque Isle Avenue, Marquette, MI, 49855–5340, USA

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX, 79968, USA

    B. Djafari Rouhani

  2. Department of Mathematics, University of Wisconsin-Barron County, 1800 College Drive, Rice Lake, WI, 54868, USA

    Akhtar A. Khan

  3. Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6–I, 95125, Catania, Italy

    Fabio Raciti

Authors
  1. B. Djafari Rouhani
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  2. Akhtar A. Khan
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  3. Fabio Raciti
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Correspondence to Akhtar A. Khan.

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This work is dedicated to the blessed memory of Professor Alex Rubinov.

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Rouhani, B.D., Khan, A.A. & Raciti, F. Penalization and regularization for multivalued pseudo-monotone variational inequalities with Mosco approximation on constraint sets. J Glob Optim 40, 147–153 (2008). https://doi.org/10.1007/s10898-007-9178-5

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  • DOI: https://doi.org/10.1007/s10898-007-9178-5

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