Convergence analysis of projection methods for a new system of general nonconvex variational inequalities

DOI10.1186/1687-1812-2012-59zbMath1475.47081OpenAlexW2124100915WikidataQ59290075 ScholiaQ59290075MaRDI QIDQ372539

Xian-Jun Long, Qian-Fen Gong, Dao-Jun Wen

Publication date: 8 October 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-59

zbMATH Keywords

\(\mu\)-Lipschitz continuous\(r\)-strongly monotone mappingsexplicit projection methodssystem of general nonconvex variational inequalitiesuniform prox-regular set

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

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