International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 78545, 18 pages

Variational inequality problems in H-spaces

Akrur Behera and Prasanta Kumar Das

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 η-invex set is explored and the concept of T-η-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 H-spaces and differentiable n-manifolds. The solution of complementarity problem is also studied in the presence of fixed points or Lefschetz number.