Open Access
2014 A Predictor-Corrector Method for Solving Equilibrium Problems
Zong-Ke Bao, Ming Huang, Xi-Qiang Xia
Abstr. Appl. Anal. 2014(SI71): 1-11 (2014). DOI: 10.1155/2014/313217


We suggest and analyze a predictor-corrector method for solving nonsmooth convex equilibrium problems based on the auxiliary problem principle. In the main algorithm each stage of computation requires two proximal steps. One step serves to predict the next point; the other helps to correct the new prediction. At the same time, we present convergence analysis under perfect foresight and imperfect one. In particular, we introduce a stopping criterion which gives rise to Δ -stationary points. Moreover, we apply this algorithm for solving the particular case: variational inequalities.


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Zong-Ke Bao. Ming Huang. Xi-Qiang Xia. "A Predictor-Corrector Method for Solving Equilibrium Problems." Abstr. Appl. Anal. 2014 (SI71) 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022145
MathSciNet: MR3283406
Digital Object Identifier: 10.1155/2014/313217

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI71 • 2014
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