Projection algorithms for the system of generalized mixed variational inequalities in Banach spaces

DOI10.1016/j.amc.2011.02.074zbMath1223.65048OpenAlexW1964105348MaRDI QIDQ544072

Qing-Bang Zhang, Ru-Liang Deng

Publication date: 14 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.074

zbMATH Keywords

monotonicityconvergenceiterative algorithmBanach spacegeneralized \(f\)-projection operatorSystem of generalized mixed variational inequalities

Mathematics Subject Classification ID

Variational inequalities (49J40) Existence theories for problems in abstract spaces (49J27) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15)

Related Items

Existence and algorithm for solving the system of mixed variational inequalities in Banach spaces ⋮ A generalized system of nonlinear variational inequalities in Banach spaces

Cites Work

• Unnamed Item
• Projection algorithms for the system of mixed variational inequalities in Banach spaces
• Existence theorem and algorithm for a general implicit variational inequality in Banach space
• The generalized \(f\)-projection operator and set-valued variational inequalities in Banach spaces
• Existence theorems for variational inequalities in Banach spaces
• Projection algorithms for solving a system of general variational inequalities
• Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces
• On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
• An extraresolvent method for monotone mixed variational inequalities
• The generalized projection operator on reflexive Banach spaces and its applications
• On the existence of solutions of variational inequalities in Banach spaces
• A class of projection and contraction methods for monotone variational inequalities
• An explicit projection method for a system of nonlinear variational inequalities with different \((\gamma ,r)\)-cocoercive mappings
• Properties of the generalized \(f\)-projection operator and its applications in Banach spaces
• A Mann type iterative scheme for variational inequalities in noncompact subsets of Banach spaces
• On the projection methods for fixed point problems
• Inequalities in Banach spaces with applications
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• The generalised f-projection operator with an application
• Variational inequalities
• Generalized Projection Operators in Banach Spaces: Properties and Applications
• Projection methods, algorithms, and a new system of nonlinear variational inequalities

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