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

DOI10.1016/j.mcm.2010.12.041zbMath1219.65061OpenAlexW2075048647MaRDI QIDQ636447

Qing-Bang Zhang, Liu Liu, Ru-Liang Deng

Publication date: 28 August 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.12.041

zbMATH Keywords

convergenceiterative algorithmprojection operatorsystem of mixed variational inequalities

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)

Related Items

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

Cites Work

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• Existence theorem and algorithm for a general implicit variational inequality in Banach space
• 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
• An implicit method for mixed variational inequalities
• 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