Semicontinuity of solutions of parametric scalar quasivariational inequality problemsof the Minty type
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Abstract
In this paper, we study two kinds of parametric scalar quasivariational inequality problems of the Minty type (in short, (MQIP
) and (MQIP
)). After then, we discuss the the upper semicontinuity, the lower semicontinuity, the Hausdorff lower semicontinuity the continuity and H-continuity for these problems. The results presented in this paper are improve and extend some main results of Lalitha and Bhatia [J. Optim. Theory. Appl. 148, 281--300 (2011)]. Some examples are given to illustrate our results.
Keywords
Parametric quasivariational inequality problems of the Minty type. Upper semicontinuity, Compactness, Closedness, Lower semicontinuity, Hausdorff lower semicontinuity, Continuity, Hausdorff continuity