International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 8, Pages 573-575
A remark on Gwinner's existence theorem on variational inequality problem
1Department of Mathematics, Indian Institute of Technology, Madras, India
2Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, India
Received 14 June 1995
Copyright © 2000 V. Vetrivel and S. Nanda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Gwinner (1981) proved an existence theorem for a variational
inequality problem involving an upper semicontinuous multifunction
with compact convex values. The aim of this paper is to solve this
problem for a multifunction with open inverse values.