TY - JOUR
T1 - An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems
AU - Mallma Ramirez, Lennin
AU - Papa Quiroz, Erik Alex
AU - Oliveira, P. R.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - © 2017, Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag Berlin Heidelberg. In this paper, we propose an inexact proximal point method to solve equilibrium problems using proximal distances and the diagonal subdifferential. Under some natural assumptions on the problem and the quasimonotonicity condition on the bifunction, we prove that the sequence generated by the method converges to a solution point of the problem.
AB - © 2017, Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag Berlin Heidelberg. In this paper, we propose an inexact proximal point method to solve equilibrium problems using proximal distances and the diagonal subdifferential. Under some natural assumptions on the problem and the quasimonotonicity condition on the bifunction, we prove that the sequence generated by the method converges to a solution point of the problem.
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U2 - 10.1007/s40305-017-0156-4
DO - 10.1007/s40305-017-0156-4
M3 - Article
SN - 2194-668X
SP - 545
EP - 561
JO - Journal of the Operations Research Society of China
JF - Journal of the Operations Research Society of China
ER -