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A regularized extra-gradient method for solving the equilibrium programming problems. (Russian, English) Zbl 1083.47502
Zh. Vychisl. Mat. Mat. Fiz. 43, No. 10, 1451-1458 (2003); translation in Comput. Math. Math. Phys. 43, No. 10, 1391-1393 (2003).
A solution to unstable equilibrium problems is proposed on the ground of the extra-gradient method. The convergence is proved and the regularization operator is constructed.
MSC:
47A52 Linear operators and ill-posed problems, regularization
68N19 Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.)
68Q25 Analysis of algorithms and problem complexity
90C52 Methods of reduced gradient type
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