On a system of nonlinear variational inclusions with \(H_{h, \eta}\)-monotone operators

DOI10.1155/2012/643828zbMath1256.49017OpenAlexW2051310625WikidataQ58695773 ScholiaQ58695773MaRDI QIDQ1938263

Liu, Zeqing, Kang, Shin Min, Ume, Jeong Sheok

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/643828

zbMATH Keywords

Hilbert spacessystem of nonlinear variational inclusionsstrongly \(H_{h, \eta}\)-monotone operators

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05)

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New generalized system of variational inclusions involving \(H(\cdot ,\cdot )\)-co-accretive mapping

Cites Work

• New approximation-solvability of general nonlinear operator inclusion couples involving \((A, \eta , m)\)-resolvent operators and relaxed cocoercive type operators
• Generalized system for relaxed cocoercive variational inequalities and projection methods
• Factorization of Minty and Stampacchia variational inequality systems
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Generalized variational inclusions and \(H\)-resolvent equations with \(H\)-accretive operators
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
• A fixed point theorem and its applications to a system of variational inequalities
• Projection methods, algorithms, and a new system of nonlinear variational inequalities
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