Painleve-Kuratowski convergence of the solution sets is investigated for the perturbed set-valued weak vector variational inequalities with a sequence of mappings converging continuously. The closedness and Painleve-Kuratowski upper convergence of the solution sets are obtained. We also obtain Painleve-Kuratowski upper convergence when the sequence of mappings converges graphically. By virtue of a sequence of gap functions and a key assumption, Painleve-Kuratowski lower convergence of the solution sets is established. Some examples are given for the illustration of our results.
CITATION STYLE
Li, S. J., Fang, Z. M., & Teo, K. L. (2008). Painleve-Kuratowski convergences for the solution sets of set-valued weak vector variational inequalities. Journal of Inequalities and Applications, 2008. https://doi.org/10.1155/2008/435719
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