On an Implicit Method for Nonconvex Variational Inequalities

M. A. Noor ()
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M. A. Noor: COMSATS Institute of Information Technology

Journal of Optimization Theory and Applications, 2010, vol. 147, issue 2, No 12, 417 pages

Abstract: Abstract In this paper, we suggest and analyze an implicit iterative method for solving nonconvex variational inequalities using the technique of the projection operator. We also discuss the convergence of the iterative method under partially relaxed strongly monotonicity, which is a weaker condition than cocoerciveness. Our method of proof is very simple.

Keywords: Variational inequalities; Nonconvex sets; Monotone operators; Iterative method; Convergence (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10957-010-9717-y

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