Generalized projection method for a variational inequality system with different mapping in Banach spaces

DOI10.1016/j.camwa.2009.07.021zbMath1189.49008OpenAlexW2029005729MaRDI QIDQ979909

Zhen He, Xin-Feng He, Jun-Min Chen

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.021

zbMATH Keywords

Lyapunov functionaluniformly smooth Banach spacegeneralized projection mappinggeneralized variational inequalities system

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15)

Related Items (3)

On a system of generalized mixed equilibrium problems involving variational-like inequalities in Banach spaces: existence and algorithmic aspects ⋮ A generalized system of nonlinear variational inequalities in Banach spaces ⋮ A new method for solving a system of generalized nonlinear variational inequalities in Banach spaces

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
• Mann and Ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions
• On the existence of solutions of variational inequalities in Banach spaces
• The Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings
• An explicit projection method for a system of nonlinear variational inequalities with different \((\gamma ,r)\)-cocoercive mappings
• 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
• Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces

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