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Khan, Suhel Ahmad; Chen, Jia-wei

Gap function and global error bounds for generalized mixed quasi variational inequalities. (English) Zbl 1410.49010

Appl. Math. Comput. 260, 71-81 (2015).
Summary: In this paper, we obtain some gap functions for generalized mixed quasi variational inequality problems in terms of regularized gap function and \(D\)-gap function. Further, by using these gap functions we obtain global error bounds for the solution of generalized mixed quasi variational inequality problems in Hilbert spaces. The results obtained in this paper generalize and improve some corresponding known results in literatures.

Cited in 14 Documents

MSC:

49J40 Variational inequalities
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
47J20 Variational and other types of inequalities involving nonlinear operators (general)

Keywords:

strong monotone mapping; residual vector; regularized gap function; \(D\)-gap function; error bounds
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References:

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