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In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone… Click to show full abstract
In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong convergence of the iterative sequence generated by the first algorithm. Furthermore, the strong convergence of the sequence generated by the second algorithm is obtained without a Lipschitz-type condition.
Keywords:
equilibrium;
bilevel equilibrium;
subgradient methods;
extragradient subgradient;
methods solving;
solving bilevel
Journal Title: Journal of Inequalities and Applications
Year Published: 2018
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Journal Title: Journal of Inequalities and Applications
Year Published: 2018
Link to full text (if available)
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recommendations!