Comparison of Two Kinds of Modified Prediction- Correction Methods for Pseudomonotone Variational Inequalities

Authors

Kan Buranakorn, Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, ThailandFollow
Ali P. Farajzadeh, Department of Mathematics, Faculty of Science, Razi University, Kermanshah, IranFollow
Somyot Plubtieng, Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand\\ Research center for Academic Excellence in Mathematics, Naresuan University, ThailandFollow

Author Country (or Countries)

Thailand

Abstract

In this paper, we propose the modified prediction-correction methods for solving pseudomonotone variational inequalities problems. The proposed methods can be viewed as an extension of the method of He et al. [11, B.S. He and X.M. Yuan, Comparison of two kinds of prediction–correction methods for monotone variational inequalities, Computational Optimization and Applications, Vol. 27, pp. 247–267 (2004).] by additional projection step at each iteration under the relaxed condition where the mapping is pseudomonotone. The convergence of the proposed method is proved. The numerical results are given to verify the efficiency of the modified methods.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100304

Recommended Citation

Buranakorn, Kan; P. Farajzadeh, Ali; and Plubtieng, Somyot (2018) "Comparison of Two Kinds of Modified Prediction- Correction Methods for Pseudomonotone Variational Inequalities," Applied Mathematics & Information Sciences: Vol. 12: Iss. 3, Article 4.
DOI: http://dx.doi.org/10.18576/journal/100304
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss3/4