© 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.
|Original language||American English|
|Number of pages||17|
|Journal||Journal of the Operations Research Society of China|
|State||Published - 1 Dec 2017|
Mallma Ramirez, L., Papa Quiroz, E. A., & Oliveira, P. R. (2017). An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems. Journal of the Operations Research Society of China, 545-561. https://doi.org/10.1007/s40305-017-0156-4