International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 78545, 18 pages
Variational inequality problems in -spaces
Department of Mathematics, National Institute of Technology, Rourkela 769008, India
Received 3 October 2005; Accepted 28 February 2006
Copyright © 2006 Akrur Behera and Prasanta Kumar Das. 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.
The concept of -invex set is explored and the
concept of --invex function is introduced.
These concepts are applied to the generalized vector variational
inequality problems in ordered topological vector spaces. The
study of variational inequality problems is extended to -spaces and differentiable -manifolds. The solution of
complementarity problem is also studied in the presence
of fixed points or Lefschetz number.