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. (1984) L'analyse non lineare et ses Motivations. Paris, New York, Barcelone, Milan, Mexico, Sao Paulo: Masson

Aubin, J., Cellina, A. (1984) Differential inclusions - set-valued maps and viability theory. Berlin, itd: Springer

Bensoussan, A., Lions, J.L. (1982) Contrôle impulsionel et ineqations quasivariationneles. Paris: Bordas

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

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Published

2006-09-01

Issue

Vol. 16 No. 2 (2006)

Section

Research Articles

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