Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840831 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 11 Pages |
Abstract
We establish verifiable sufficient conditions for Hölder continuity of approximate solutions to parametric equilibrium problems, when solutions may be not unique. Many examples are provided to illustrate the need of considering approximate solutions instead of exact solutions and the essentialness of the imposed assumptions. As applications, we derive this Hölder continuity for constrained minimization, variational inequalities and fixed point problems.
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Authors
L.Q. Anh, P.Q. Khanh, T.N. Tam,