An iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces

DOI10.1155/2010/687374zbMath1184.49006OpenAlexW2021464297WikidataQ59250164 ScholiaQ59250164MaRDI QIDQ962511

Yeol Je Cho, Sheng-Hua Wang

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227947

zbMATH Keywords

iterative schemenonexpansive mappingsstrong convergence theoremsvariational inequality problems in Hilbert spaces

Mathematics Subject Classification ID

Variational inequalities (49J40) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Methods involving semicontinuity and convergence; relaxation (49J45) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (1)

Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities

Cites Work

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• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative Algorithms for Nonlinear Operators
• Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
• Quadratic optimization of fixed points of nonexpansive mappings in hubert space
• An Introduction to Variational Inequalities and Their Applications

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