A Simpler Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces

Haiyun Zhou () and Peiyuan Wang ()
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Haiyun Zhou: Shijiazhuang Mechanical Engineering College
Peiyuan Wang: Shijiazhuang Mechanical Engineering College

Journal of Optimization Theory and Applications, 2014, vol. 161, issue 3, No 2, 716-727

Abstract: Abstract In the present paper, we propose a simpler explicit iterative algorithm for finding a solution for variational inequalities over the set of common fixed points of a finite family of nonexpansive mappings on Hilbert spaces. A strong convergence theorem is proved under fewer restrictions imposed on the mappings and parameters. An extension and numerical result are also given to illustrate the effectiveness and superiority of the proposed algorithm.

Keywords: Variational inequalities; Hybrid steepest-descent method; Averaged mappings; Common fixed points (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-013-0470-x

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