Semicontinuity of solutions of parametric scalar quasivariational inequality problemsof the Minty type
Nội dung chính của bài viết
Tóm tắt
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.
Từ khóa
Parametric quasivariational inequality problems of the Minty type. Upper semicontinuity, Compactness, Closedness, Lower semicontinuity, Hausdorff lower semicontinuity, Continuity, Hausdorff continuity