Iterative methods for solving variational inclusions in Banach spaces

DOI10.1016/j.cam.2006.03.011zbMath1118.65070OpenAlexW1998207971MaRDI QIDQ875156

Jian Lou, Zhen He, Xin-Feng He

Publication date: 11 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.03.011

zbMATH Keywords

convergenceiterative algorithmresolvent operator technique\(q\)-uniformly smooth Banach spacessystem of nonlinear variational inclusions\(H\)-accretive operator mapping

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Nonlinear accretive operators, dissipative operators, etc. (47H06)

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Cites Work

• Unnamed Item
• Unnamed Item
• A perturbed algorithm for variational inclusions
• Sensitivity analysis for strongly nonlinear quasi-variational inclusions
• \(H\)-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces.
• Iterative algorithm for a system of nonlinear variational-like inclusions
• Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings.
• Perturbed proximal point algorithms for general quasi-variational-like inclusions
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
• Inequalities in Banach spaces with applications

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