Convergence and stability of perturbed three-step iterative algorithm for completely generalized nonlinear quasivariational inequalities.

DOI10.1016/S0096-3003(03)00137-1zbMath1044.65058OpenAlexW2030611366MaRDI QIDQ1427912

Liu, Zeqing, Kang, Shin Min

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00137-1

zbMATH Keywords

stabilityresolvent operator techniquefixed point problemscompletely generalized nonlinear quasivariational inequalitygeneralized pseudocontractive mappingperturbed three-step iterative algorithmrelaxed monotone mapping

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Numerical methods of relaxation type (49M20)

Related Items (10)

Auxiliary principle for generalized nonlinear variational-like inequalities ⋮ An iterative algorithm for hemicontractive mappings in Banach spaces ⋮ The solvability of a class of general nonlinear implicit variational inequalities based on perturbed three-step iterative processes with errors ⋮ A projection algorithm for general variational inequalities with perturbed constraint sets ⋮ Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces ⋮ Existence and iterative approximations of solutions for mixed quasi-variational-like inequalities in Banach spaces ⋮ A perturbed algorithm for a system of variational inclusions involving \(H(\cdot, \cdot)\)-accretive operators in Banach spaces ⋮ Graph convergence for the \(H(\cdot , \cdot )\)-accretive operator in Banach spaces with an application ⋮ Graph convergence for the \(H(\cdot,\cdot)\)-co-accretive mapping with an application ⋮ Convergence and stability of three-step iterative scheme with errors for completely generalized strongly nonlinear quasivariational inequalities

Cites Work

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• General strongly nonlinear variational inequalities
• A perturbed algorithm for variational inclusions
• Generalized nonlinear mixed quasi-variational inequalities
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Perturbed algorithms and sensitivity analysis for a general class of variational inclusions

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