Local convergence analysis of projection-type algorithms: unified approach
Journal of Optimization Theory and Applications
Some recent advances in projection-type methods for variational inequalities
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
Value functions and error bounds of trust region methods
Journal of Applied Mathematics and Computing
Pseudomonotone$${_{\ast}}$$ maps and the cutting plane property
Journal of Global Optimization
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The notion of a strictly complementary solution for complementarity problems is extended to that of a nondegenerate solution of variational inequalities. Several equivalent formulations of nondegeneracy are given. In the affine case, an existence theorem for a nondegenerate solution is given in terms of several related concepts which are shown to be equivalent in this context. These include a weak sharp minimum, the minimum principle sufficiency, and error bounds. The gap function associated with the variational inequality plays a central role in this existence theorem.