Mathematical Programming: Series A and B
Exceptional families and finite-dimensional variational inequalities over polyhedral convex sets
Applied Mathematics and Computation
Functions without exceptional family of elements and complementarity problems
Journal of Optimization Theory and Applications
Exceptional Families, Topological Degree and Complementarity Problems
Journal of Global Optimization
Exceptional Family of Elements for a Variational Inequality Problem and its Applications
Journal of Global Optimization
Stability results for polyhedral complementarity problems
Computers & Mathematics with Applications
Exceptional family of elements for generalized variational inequalities
Journal of Global Optimization
Generalization of an existence theorem for complementarity problems
Journal of Computational and Applied Mathematics
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We establish several new existence theorems for nonlinear variational inequalities with generalized positively homogeneous functions. The results presented here are general enough to include two More existence theorems of complementarity problems as special cases. We also establish an existence result for nonlinear complementarity problems with an exceptional regularity map. The concept of an exceptional family for a variational inequality plays a key role in our analysis.