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Zbl 1158.49028
Noor, Muhammad Aslam
Sensitivity analysis of extended general variational inequalities. (English)
[J] Appl. Math. E-Notes 9, 17-26, electronic only (2009). ISSN 1607-2510/e

Summary: It is well known that the Wiener-Hopf equations are equivalent to the general variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the general variational inequalities without assuming the differentiability of the given data. Since the general variational inequalities include classical variational inequalities, quasi (mixed) variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems. In fact, our results can be considered as a significant extension of previously known results.

MSC 2000:: *49K40 Sensitivity of optimal solutions in the presence of perturbations
49J40 Variational methods including variational inequalities
90C33 Complementarity problems
47J20 Inequalities involving nonlinear operators

Keywords: Wiener-Hopf equations; equivalence to general variational inequalities; equilibrium problems

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Zentralblatt MATH Berlin [Germany]