Geodesic
On Bilevel Variational Inequalities Arising in the Analysis of Improper Optimization Problems
Yugoslav journal of operations research, Tome 11 (2001) no. 1, p. 3 .

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A special class of bilevel monotone variational inequalities arising in the parametric analysis of monotone operator equations is investigated. Sufficient conditions for the existence of a solution are given and some numerical methods for these problems are proposed. Improper problems of mathematical programming, complementarity and game theory may be regarded as an area of application of the results of the theory and practice of ill-posed parametric systems of equations and convex inequalities.
Classification : 58E35 90C31 90C33 91A99 58E50
Keywords: Monotone operators, lexicographical variational inequalities, stable solvability, improper optimization problems, optimal correction of ill-posed instances. 
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     title = {On {Bilevel} {Variational} {Inequalities} {Arising} in the {Analysis} of {Improper} {Optimization} {Problems}},
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Leonid D. Popov. On Bilevel Variational Inequalities Arising in the Analysis of Improper Optimization Problems. Yugoslav journal of operations research, Tome 11 (2001) no. 1, p. 3 . http://geodesic.mathdoc.fr/item/YJOR_2001_11_1_a0/