Hölder continuity of a parametric variational inequality
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Abstract:
In this paper, we study the Hölder continuity of solution mapping to a parametric variational inequality. At first, recalling a real-valued gap function of the problem, we discuss the Lipschitz continuity of the gap function. Then under the strong monotonicity, we establish the Hölder continuity of the single-valued solution mapping for the problem. Finally, we apply these results to a traffic network equilibrium problem.
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Journal title
volume 43 issue 7
pages 2371- 2381
publication date 2017-12-30
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