Resolvent equations technique for general variational inclusions

DOI10.3792/pjaa.78.188zbMath1027.49011OpenAlexW2008135166MaRDI QIDQ1565795

Kang, Shin Min, Liu, Zeqing, Ume, Jeong Sheok

Publication date: 13 January 2004

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.78.188

zbMATH Keywords

equivalenceconvergenceiterative algorithmsresolvent equationsvariational inclusions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)

Related Items (5)

Auxiliary principle for generalized nonlinear variational-like inequalities ⋮ Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces ⋮ An algorithm based on resolvent operators for solving positively semidefinite variational inequalities ⋮ Existence and iterative approximations of solutions for mixed quasi-variational-like inequalities in Banach spaces ⋮ Convergence and stability of three-step iterative scheme with errors for completely generalized strongly nonlinear quasivariational inequalities

Cites Work

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• Applications of variational inequalities to nonlinear analysis
• Set-valued resolvent equations and mixed variational inequalities
• Generalized set-valued variational inclusions and resolvent equations
• A perturbed algorithm for variational inclusions
• Generalized variational inequalities involving multivalued relaxed monotone operators
• Multivalued variational inequalities and resolvent equations
• On generalized variational inequalities involving relaxed Lipschitz and relaxed monotone operators
• An implicit method for mixed variational inequalities
• Multi-valued contraction mappings
• Generalized Variational Inequalities and Associated Nonlinear Equations

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