Homotopy method for solving ball-constrained variational inequalities |
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Authors: | Xiaona Fan Qinglun Yan |
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Affiliation: | College of Science, Nanjing University of Posts and Telecommunications, Nanjing, Jiangsu 210046, PR China |
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Abstract: | In this paper, we present a smoothing homotopy method for solving ball-constrained variational inequalities by utilizing a similar Chen-Harker-Kanzow-Smale function to smooth Robinson’s normal equation. Without any monotonicity condition on the defining map F, for the starting point chosen almost everywhere in Rn, the existence and convergence of the homotopy pathway are proven. Numerical experiments illustrate that the method is feasible and effective. |
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Keywords: | 90C33 90C30 65C20 65L05 |
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