On a regularization method for variational inequalities with P_0 mappings

Igor Konnov; Elena Mazurkevich; Mohamed Ali

International Journal of Applied Mathematics and Computer Science (2005)

  • Volume: 15, Issue: 1, page 35-44
  • ISSN: 1641-876X

Abstract

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We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P_0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.

How to cite

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Konnov, Igor, Mazurkevich, Elena, and Ali, Mohamed. "On a regularization method for variational inequalities with P_0 mappings." International Journal of Applied Mathematics and Computer Science 15.1 (2005): 35-44. <http://eudml.org/doc/207725>.

@article{Konnov2005,
abstract = {We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P\_0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.},
author = {Konnov, Igor, Mazurkevich, Elena, Ali, Mohamed},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {variational inequalities; partialregularization approach; P\_0-mappings; partial regularization approach; –mappings},
language = {eng},
number = {1},
pages = {35-44},
title = {On a regularization method for variational inequalities with P\_0 mappings},
url = {http://eudml.org/doc/207725},
volume = {15},
year = {2005},
}

TY - JOUR
AU - Konnov, Igor
AU - Mazurkevich, Elena
AU - Ali, Mohamed
TI - On a regularization method for variational inequalities with P_0 mappings
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 1
SP - 35
EP - 44
AB - We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P_0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.
LA - eng
KW - variational inequalities; partialregularization approach; P_0-mappings; partial regularization approach; –mappings
UR - http://eudml.org/doc/207725
ER -

References

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  11. Nagurney A. (1999): Network Economics: A Variational Inequality Approach. - Dordrecht: Kluwer. Zbl0873.90015
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  13. Okuguchi K. and Szidarovszky F. (1990): The Theory of Oligipoly with Multi-Product Firms. - Berlin: Springer. Zbl0704.90001
  14. Ortega J.M. and Rheinboldt W.C. (1970): Iterative Solution of Nonlinear Equations in Several Variables. - New York: Academic Press. Zbl0241.65046
  15. Qi H.D. (1999): Tikhonov regularization for variational inequality problems. - J. Optim. Theory Appl., Vol. 102, No. 1, pp. 193-201. Zbl0939.90019

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