a predictor-corrector method for solving equilibrium problems

Clicks: 7
ID: 187061
2014
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Abstract
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.
Reference Key
bao2014abstracta Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Zong-Ke Bao;Ming Huang;Xi-Qiang Xia
Journal science and technology of advanced materials
Year 2014
DOI
10.1155/2014/313217
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