Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces

DOI10.1080/00036810801952953zbMath1149.47051OpenAlexW2023033627WikidataQ58134282 ScholiaQ58134282MaRDI QIDQ5900019

Meijuan Shang, Kang, Shin Min, Xiaolong Qin

Publication date: 28 May 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810801952953

zbMATH Keywords

variational inequalityHilbert spaceprojection methodrelaxed cocoercive mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Extrapolation to the limit, deferred corrections (65B05)

Related Items (6)

Convergence analysis of parallel \(S\)-iteration process for system of generalized variational inequalities ⋮ A Valuable Remark on Lipschitz in the First Variable Definition and System of Nonlinear Variational Inequalities ⋮ Modified relaxed extragradient method for a general system of variational inequalities and nonexpansive mappings in Banach spaces ⋮ Iterative methods for generalized equilibrium problems and fixed point problems with applications ⋮ Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications ⋮ Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems

Cites Work

• Generalized system for relaxed cocoercive variational inequalities and projection methods
• General convergence analysis for two-step projection methods and applications to variational problems
• General variational inequalities
• New approximation schemes for general variational inequalities
• New extragradient-type methods for general variational inequalities.
• Some developments in general variational inequalities
• Projection-proximal methods for general variational inequalities
• An explicit projection method for a system of nonlinear variational inequalities with different \((\gamma ,r)\)-cocoercive mappings
• Generalized variational inequalities involving relaxed monotone mappings and nonexpansive mappings
• Generalized nonlinear variational inclusions involving \((A,\eta)\)-monotone mappings in Hilbert spaces
• Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces
• Projection methods, algorithms, and a new system of nonlinear variational inequalities

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