Mixed quasi-variational inequalities involving error bounds

Suhel Ahmad Khan, Javid Iqbal, Yekini Shehu · Journal of Inequalities and Applications · 2015

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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