We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P_0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.
Department of Mathematics, Faculty of Education Ain Shams University, Cairo, Egypt
Bibliografia
Baiocchi C. and Capelo A.(1984): Variational and Quasivariational Inequalities. Applications to Free Boundary Problems. - New York: Wiley.
Cottle R.W., Pang J.-S., and Stone R.E. (1992): The Linear Complementarity Problem. -Boston: Academic Press.
Facchinei F. and Kanzow C. (1999): Beyond monotonicity in regularization methods for nonlinear complementarity problems. — SIAM J. Contr. Optim., Vol. 37, No. 4, pp. 1150–1161.
Facchinei F. and Pang J.-S. (2003): Finite-Dimensional Variational Inequalities and Complementarity Problems. - Berlin: Springer-Verlag.
Fiedler M. and Ptak V. (1962): On matrices with nonpositive off-diagonal elements and principal minors. - Czechoslovak Math. Journal, Vol. 12 (87), No. 3, pp. 382-400.
Kolstad C.D. and Mathiesen L.(1987): Necessary and sufficient conditions for uniqueness of a Cournot equilibrium. - Rev. Econ. Studies, Vol. 54, No. 4, pp. 681-690.
Konnov I.V. (2000): Properties of gap functions for mixed variational inequalities. - Siberian J. Numer. Math., Vol. 3, No. 3, pp. 259-270.
Konnov I.V. and Volotskaya E.O.(2002): Mixed variational inequalities and ecomonic equilibrium problems. - J. Appl. Math., Vol. 2, No. 6, pp. 289-314.
Manne A.S. (1985): On the formulation and solution of economic equilibrium models. - Math. Program. Study 23, Amsterdam: North-Holland, pp. 1-22.
More J. and Rheinboldt W.(1973): On P- and S-functions and related classes of n-dimensional nonlinear mappings. - Linear Alg. Appl., Vol. 6, No. 1, pp. 45-68.
Nagurney A. (1999): Network Economics: A Variational Inequality Approach. - Dordrecht: Kluwer.
Nikaido H. (1968): Convex Structures and Economic Theory. - New York: Academic Press.
Okuguchi K. and Szidarovszky F. (1990): The Theory of Oligipoly with Multi-Product Firms. - Berlin: Springer.
Ortega J.M. and Rheinboldt W.C. (1970): Iterative Solution of Nonlinear Equations in Several Variables. - New York: Academic Press.
Qi H.D. (1999): Tikhonov regularization for variational inequality problems. - J. Optim. Theory Appl., Vol. 102, No. 1, pp. 193-201.
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