Strong Convergence of the Halpern Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Spaces

Rapeepan Kraikaew () and Satit Saejung ()
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Rapeepan Kraikaew: Khon Kaen University
Satit Saejung: Khon Kaen University

Journal of Optimization Theory and Applications, 2014, vol. 163, issue 2, No 3, 399-412

Abstract: Abstract Building upon the subgradient extragradient method proposed by Censor et al., we prove the strong convergence of the iterative sequence generated by a modification of this method by means of the Halpern method. We also consider the problem of finding a common element of the solution set of a variational inequality and the fixed-point set of a quasi-nonexpansive mapping with a demiclosedness property.

Keywords: Subgradient extragradient method; Halpern method; Variational inequality; Quasi-nonexpansive mapping; Fixed point (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (21)

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DOI: 10.1007/s10957-013-0494-2

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