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| Volume 2, Number 3, September 2006, pp.599-609 | ||||||||
| Maria Beatrice Lignola, Jacqueline Morgan and Vincenzo Scalzo | ||||||||
| Key words: | ||||||||
| Vector Quasi-Variational Inequalities, set-valued mappings, Painlev\'e-Kuratowski upper convergence, Banach spaces | ||||||||
| Mathematices Subject Classification: 47J20, 49J40, 49J53, 58E35, 58K55 | ||||||||
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| Abstract: | |||
| Painlev\'e-Kuratowski upper convergence of solutions to perturbed Vector Quasi-Variational Inequalities is studied. Using different partial orders, various types of solutions are proposed and convergence results are est ablished under certain set-valued mappings properties and (pseudo-)monotonicity assumptions on the operators. Some examples show that these conditions are of minimal | |||
| Vector quasi-variational inequalities under perturbations | ||