On Hölder continuity of approximate solutions to parametric equilibrium problems |
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| Authors: | LQ Anh |
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| Institution: | a Department of Mathematics, Teacher College, Cantho University, Cantho, Viet Namb Department of Mathematics, International University of Hochiminh City, Linh Trung, Thu Duc, Hochiminh City, Viet Namc Department of Mathematics, Taydo University, Cantho, Viet Nam |
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| 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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| Keywords: | 49K40 90C31 91B50 |
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