Well-posedness for mixed quasivariational-like inequalities

作者：Ceng, L C; Hadjisavvas, N; Schaible, S; Yao, J C^*

来源：Journal of Optimization Theory and Applications, 2008, 139(1): 109-125.

DOI：10.1007/s10957-008-9428-9

• mixed quasivariational-like inequalities
• well-posedness
• well-posedness in the generalized sense
• multivalued maps
• measure of noncompactness

In this paper, we introduce concepts of well-posedness, and well-posedness in the generalized sense, for mixed quasivariational-like inequalities where the underlying map is multivalued. We give necessary and sufficient conditions for the various kinds of well-posedness to occur. Our results generalize and strengthen previously found results for variational and quasivariational inequalities.

• 出版日期2008-10
• 单位上海师范大学; 中山大学