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On a regularization method for variational inequalities with P_0 mappings

Igor Konnov, Elena Mazurkevich, Mohamed Ali (2005)

International Journal of Applied Mathematics and Computer Science

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.

On Nash theorem

Władysław Kulpa, Andrzej Szymański (2002)

Acta Universitatis Carolinae. Mathematica et Physica

On well-posedness for parametric vector quasiequilibrium problems with moving cones

Lam Quoc Anh, Dinh Vinh Hien (2016)

Applications of Mathematics

In this paper we consider weak and strong quasiequilibrium problems with moving cones in Hausdorff topological vector spaces. Sufficient conditions for well-posedness of these problems are established under relaxed continuity assumptions. All kinds of well-posedness are studied: (generalized) Hadamard well-posedness, (unique) well-posedness under perturbations. Many examples are provided to illustrate the essentialness of the imposed assumptions. As applications of the main results, sufficient conditions...

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