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Weak Sharp Solutions of Variational Inequalities

Patrice MarcotteDaoli ZhuUniversité de Montréal. Département d'informatique et de recherche opérationnelleCentre for Research on Transportation (Montréal, Québec)

出版	Centre for Research on Transportation = Centre de recherche sur les transports (C.R.T.), 1997
URL	http://books.google.com.hk/books?id=Y55bNAEACAAJ&hl=&source=gbs_api

註釋Burke and Ferris (1993) have introduced sufficient conditions for the finite identification, by iterative algorithms, of local minima associated with mathematical programs. They introduced the notion of a weak sharp minimum, which extends the notion of a sharp or strongly unique minimum to mathematical programs admitting non-isolated local minima. This paper extends their results and those of Al-Khayyal and Kyparisis (1991) to generalized monotone variational inequalities, and provides a characterization of their solution sets. Sufficient conditions are given for the finite convergence of descent algorithms for solving variational inequalities involving generalized monotone mappings.