A new system of generalized quasi-variational-like inclusions with noncompact valued mappings

DOI10.1186/1029-242X-2012-41zbMath1272.49029OpenAlexW2126974231WikidataQ59271251 ScholiaQ59271251MaRDI QIDQ368011

Han-Wen Cao

Publication date: 17 September 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-41

zbMATH Keywords

iterative algorithmmonotone operator\(\eta\)-proximal mappinggeneralized quasi-variational-like inclusions

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Variational and other types of inclusions (47J22)

Related Items (1)

New general systems of set-valued variational inclusions involving relative \((A, \eta)\)-maximal monotone operators in Hilbert spaces

Cites Work

• An iterative algorithm based on M-proximal mappings for a system of generalized implicit variational inclusions in Banach spaces
• General convergence analysis for two-step projection methods and applications to variational problems
• Proximal point algorithm for generalized multivalued nonlinear quasi-variational-like inclusions in Banach spaces
• Generalized quasi-variational-like inclusions with nonconvex functionals
• An explicit projection method for a system of nonlinear variational inequalities with different \((\gamma ,r)\)-cocoercive mappings
• Generalized system for relaxed cocoercive mixed variational inequalities in Hilbert spaces
• General approximation solvability of a system of strongly \(g\)-\(r\)-pseudomonotonic nonlinear variational inequalities and projection methods
• Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces

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