A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities

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Shi, Chaofeng (2009) A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities. Research report collection, 12 (2).


In this paper, a class of mixed inverse variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for mixed inverse variational inequalities, suggest a predictor-corrector method for solving the mixed inverse variational inequalities by using the auxiliary principle technique. Then it is shown that the convergence of the new method requires the partially relaxed strong monotonicity property of the operator, which is a weak condition than cocoercivity. Furthermore, the sensitive analysis of the mixed inverse variational inequality is also given. Our results can be viewed as an important extension of the previously known results for inverse variational inequalities.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17723
Subjects Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords inverse variational inequalities, auxiliary principle, predictor-corrector method, convergence
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