Geodesic
Yosida Approximation Methods for Generalized Equilibrium Problems
Journal of convex analysis, Tome 27 (2020) no. 3, pp. 959-977
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We present new iteration methods, which are called Yosida approximation methods, for finding a critical point of generalized equilibrium problems. The methods are based on the idea of the DC (Difference of convex functions) decomposition method and Yosida regularization method. We show that the iterative sequences generated by the methods converge to a critical point under mild assumptions on parameters. Application to the Cournot-Nash oligopolistic market model with concave cost functions is reported.
Classification : 65K10, 90C25, 49J35
Mots-clés : Equilibrium problems, pseudomonotonicity, Yosida regularization, critical point, projection method 
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     author = {P. N. Anh and H. A. Le Thi and P. D. Tao},
     title = {Yosida {Approximation} {Methods} for {Generalized} {Equilibrium} {Problems}},
     journal = {Journal of convex analysis},
     pages = {959--977},
     year = {2020},
     volume = {27},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a9/}
}
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P. N. Anh; H. A. Le Thi; P. D. Tao. Yosida Approximation Methods for Generalized Equilibrium Problems. Journal of convex analysis, Tome 27 (2020) no. 3, pp. 959-977. http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a9/