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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 12, Pages 2008–2013
DOI: https://doi.org/10.7868/S0044466913120041 (Mi zvmmf9958) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Shooting method for solving equilibrium programming problems

B. A. Budak

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia
Full-text PDF (217 kB) Citations (3)
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DOI: https://doi.org/10.7868/S0044466913120041
Abstract: A new iterative method is proposed for solving equilibrium programming problems. The sequence of points it generates is proved to converge weakly to the solution set of the equilibrium problem under study. If the initial point has at least one projection onto the solution set of the equilibrium problem, the sequence generated by the method is shown to converge strongly to the set of these projections. The partial gradient of the initial data is assumed to be invertible and strictly monotone, which differs from the classical skew-symmetry condition.
Key words: equilibrium programming, invertible and strictly monotone gradient, shooting method, strong convergence, weak convergence, skew-symmetry.
Received: 01.07.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 12, Pages 1819–1824
DOI: https://doi.org/10.1134/S0965542513120038
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: B. A. Budak, “Shooting method for solving equilibrium programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013), 2008–2013; Comput. Math. Math. Phys., 53:12 (2013), 1819–1824
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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