Existence of a solution of the quasi-variational inequality with semicontinuous operator

Authors

  • Đurica S. Jovanov Faculty of Organizational Sciences, Belgrade

DOI:

https://doi.org/10.2298/YJOR0602147J

Keywords:

quasi-variational inequality, existence of a solution, semi continuous operator

Abstract

The paper considers quasi-variational inequalities with point to set operator. The existence of a solution, in the case when the operator of the quasi-variational inequality is semi-continuous and the feasible set is convex and compact, is proved.

References

Aubin, J.P., L'analyse non linéaire et ses Motivations, Masson, Paris New York Barcelone Milan Mexico Sao Paulo, 1984.

Aubin, J.P., and Cellina, A., Differential Inclusions, Set-Valued Maps and Viability Theory, Springer-Verlag, Berlin Heidelberg New York Tokyo, 1984.

Bensoussan, A., and Lions, J.L., Contrôle impulsionnel et inéquations quasivariationnelles, Bordas, Paris, 1982.

Jovanov, Dj., "The existence of solutions of variational inequality with set valued mappings", Proceedings of XVII Yugoslav Symposium on Operations Research, SYM-OP-IS'90, Kupari, 1990, 321-324.

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Published

2006-09-01

Issue

Vol. 16 No. 2 (2006)

Section

Research Articles

License

Copyright (c) 2006 YUJOR

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