Proximal Point Algorithms for General Variational Inequalities

M. Li, L. Z. Liao and X. M. Yuan ()
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M. Li: Southeast University
L. Z. Liao: Hong Kong Baptist University
X. M. Yuan: Hong Kong Baptist University

Journal of Optimization Theory and Applications, 2009, vol. 142, issue 1, No 7, 125-145

Abstract: Abstract This paper presents a unified framework of proximal point algorithms (PPAs) for solving general variational inequalities (GVIs). Some existing PPAs for classical variational inequalities, including both the exact and inexact versions, are extended to solving GVIs. Consequently, several new PPA-based algorithms are proposed.

Keywords: General variational inequality; Inexact versions; Proximal point algorithms (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10957-009-9532-5

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