Existence of solutions of generalized variational inequalities in reflexive Banach spaces

DOI10.1016/j.aml.2008.03.009zbMath1163.47307OpenAlexW2077479744MaRDI QIDQ1027493

Qamrul Hasan Ansari, Jen-Chih Yao, Mu-Ming Wong

Publication date: 29 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.03.009

zbMATH Keywords

duality mappingreflexive Banach spacesgeneralized variational inequalitiesgeneralized projection

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

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Existence of solutions of a new system of generalized variational inequalities in Banach spaces ⋮ Implicit iterative scheme for a countable family of nonexpansive mappings in 2-uniformly smooth Banach spaces

Cites Work

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• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications