International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 10, Pages 78545, 18 p.
doi:10.1155/IJMMS/2006/78545

Variational inequality problems in H-spaces

Abstract

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.