Article ID Journal Published Year Pages File Type
840831 Nonlinear Analysis: Theory, Methods & Applications 2012 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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