On the convergence of some iteration processes for \(J\)-pseudomonotone mixed variational inequalities in uniformly smooth Banach spaces

DOI10.1016/j.mcm.2006.11.020zbMath1142.47042OpenAlexW2120386980MaRDI QIDQ2472638

Ali Mohamed Saddeek, S. Attia Ahmed

Publication date: 22 February 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.11.020

zbMATH Keywords

convergencefixed pointvariational inequalityuniformly smooth Banach spaceweakly continuous duality mappingduality map\(J\)-coercive\(J\)-potential\(J\)-pseudomonotone\(J\)-strongly inverse monotone

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items

A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities ⋮ Multivalued variational inequalities with \(D_J\)-pseudomonotone mappings in reflexive Banach spaces ⋮ Fixed points by certain iterative schemes with applications ⋮ Generalized iterative process and associated regularization for \(J\)-pseudomonotone mixed variational inequalities

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