Two-level iterative method for non-stationary mixed variational inequalities |
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Authors: | I. V. Konnov Salahuddin |
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Affiliation: | 1.Kazan Federal University,Kazan,Russia;2.Jazan University,Jazan,Saudi Arabia |
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Abstract: | We consider a mixed variational inequality problem involving a set-valued nonmonotone mapping and a general convex function, where only approximation sequences are known instead of exact values of the cost mapping and function, and feasible set. We suggest to apply a two-level approach with inexact solutions of each particular problem with a descent method and partial penalization and evaluation of accuracy with the help of a gap function. Its convergence is attained without concordance of penalty, accuracy, and approximation parameters under coercivity type conditions. |
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