Mixed quasi-variational inequalities involving error bounds

被引：0
|
作者：
Suhel Ahmad Khan
Javid Iqbal
Yekini Shehu
机构：
[1] BITS-Pilani,Department of Mathematics
[2] Baba Ghulam Shah Badshah University,Department of Mathematical Sciences
[3] University of Nigeria,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
error bounds; sub-differential; strong monotone mapping; regularized gap function; residue vector; 49C25; 49J53; 90C30; 90C33;
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摘要：
In this paper, we define some new notions of gap functions for set-valued mixed quasi-variational inequalities under suitable conditions. Further, we obtain local/global bounds for the solution of set-valued mixed quasi-variational inequality problems in terms of the residual gap function, the regularized gap function, and the D-gap function. The results obtained in this paper are generalization and refinement of previously known results for some class of variational inequality problems.
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