Analytic center cutting plane methods for variational inequalities over convex bodies

Renying Zeng

doi:10.1186/s13660-018-1666-2

Analytic center cutting plane methods for variational inequalities over convex bodies

J Inequal Appl. 2018;2018(1):87. doi: 10.1186/s13660-018-1666-2. Epub 2018 Apr 14.

Author

Renying Zeng^{1

2}

Affiliations

¹ 1School of Mathematical Sciences, Chongqing Normal University, Chongqing, China.
² 2Mathematics Department, Saskatchewan Polytechnic, Saskatoon, Canada.

Abstract

An analytic center cutting plane method is an iterative algorithm based on the computation of analytic centers. In this paper, we propose some analytic center cutting plane methods for solving quasimonotone or pseudomonotone variational inequalities whose domains are bounded or unbounded convex bodies.

Keywords: Analytic center cutting plane method; Convex body; Pseudomonotonicity; Quasimonotonicity; Variational inequality.