A new system of generalized nonlinear quasi-variational-like inclusions with \(A\)-monotone operators in Banach spaces

DOI10.1016/j.cam.2008.07.048zbMath1161.65048OpenAlexW2017744129MaRDI QIDQ1005998

Xie Ping Ding, Hai Rong Feng

Publication date: 17 March 2009

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.2008.07.048

zbMATH Keywords

iterative algorithmproximal mapping\(A\)-monotonesystem of generalized nonlinear quasi-variational-like inclusions

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10)

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Cites Work

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• General system of \(A\)-monotone nonlinear variational inclusion problems with applications
• \(H\)-monotone operator and resolvent operator technique for variational inclusions
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• \(A\)-monotonicity and applications to nonlinear variational inclusion problems
• A new class of completely generalized quasi-variational inclusions in Banach spaces
• Variational inclusions with a general \(H\)-monotone operator in Banach spaces
• Nonlinear relaxed cocoercive variational inclusions involving \((A,\eta)\)-accretive mappings in Banach spaces
• Multi-valued contraction mappings
• A characterization of strict convexity of Banach spaces and other uses of duality mappings
• Existence and algorithm of solutions for generalized mixed implicit quasi-variational inequalities

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