Generalized iterative process and associated regularization for \(J\)-pseudomonotone mixed variational inequalities

DOI10.1016/j.amc.2009.03.006zbMath1170.65057OpenAlexW2088182586MaRDI QIDQ1030211

Ali Mohamed Saddeek

Publication date: 1 July 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.006

zbMATH Keywords

variational inequalitiesweak convergencenumerical examplesduality mapsregularized methoduniformly smooth Banach spaces\(J\)-pseudomonotone operatorsgeneralized iterative processstationary filtration problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Existence theories for problems in abstract spaces (49J27)

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, Regularization methods for nonlinear ill-posed equations involving \(m\)-accretive mappings in Banach spaces, Newton-Kantorovich regularization method for nonlinear ill-posed equations involving \(m\)-accretive operators in Banach spaces, Newton-Kantorovich iterative regularization and generalized discrepancy principle for nonlinear ill-posed equations involving accretive mappings

Uses Software

• ORL face

Cites Work

• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Convergence analysis of iterative methods for some variational inequalities with pseudomonotone operators
• Generalized Mann iterates for constructing fixed points in Hilbert spaces
• A study of variable step iterative methods for variational inequalities of the second kind
• On the convergence of some iteration processes for \(J\)-pseudomonotone mixed variational inequalities in uniformly smooth Banach spaces
• Fixed point theorems for nonlinear semicontractive mappings in Banach spaces
• Inequalities in Banach spaces with applications
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
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