Hölder continuity of a parametric variational inequality

Document Type : Research Paper


1 Department of Electronic Engineering‎, ‎Chongqing City Management College‎, ‎Chongqing‎, ‎401331‎, ‎China.

2 College of Mathematics and Statistics‎, ‎Chongqing Jiaotong University‎, ‎Chongqing 400074‎, China.


‎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.


Main Subjects

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