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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 10, Pages 50–61
(Mi ivm9289)
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This article is cited in 6 scientific papers (total in 6 papers)
Two-level iterative method for non-stationary mixed variational inequalities
I. V. Konnova, Salahuddinb a Kazan Federal University,
18 Kremlyovskaya str., Kazan, 420008 Russia
b Jazan University,
Jazan, K. S. A.
Abstract:
We consider a mixed variational inequality problem involving a set-valued non-monotone 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.
Keywords:
mixed variational inequality, non-stationarity, non-monotone mappings, potential mappings, approximate solutions, penalty method, gap function.
Received: 03.06.2016
Citation:
I. V. Konnov, Salahuddin, “Two-level iterative method for non-stationary mixed variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 10, 50–61; Russian Math. (Iz. VUZ), 61:10 (2017), 44–53
Linking options:
https://www.mathnet.ru/eng/ivm9289 https://www.mathnet.ru/eng/ivm/y2017/i10/p50
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Abstract page: | 1661 | Full-text PDF : | 49 | References: | 49 | First page: | 12 |
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