An iterative method for generalized set-valued nonlinear mixed quasi-variational inequalities

DOI10.1016/j.cam.2004.01.028zbMath1060.65064OpenAlexW2167277716MaRDI QIDQ596218

Stephen C. Billups, Eman H. Al-Shemas

Publication date: 10 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.01.028

zbMATH Keywords

algorithmconvergenceset-valued mappingsiterative methodquasi-variational inequalitiesstep size controlfixed point method

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Numerical optimization and variational techniques (65K10) Newton-type methods (49M15)

Related Items (8)

A new system of generalized mixed quasi-variational inclusions with \((H,\eta )\)-monotone operators ⋮ Iterative method for set-valued mixed quasi-variational inequalities in a Banach space ⋮ The existence and uniqueness of solution and the convergence of a multi-step iterative algorithm for a system of variational inclusions with \((A, \eta, m)\)-accretive operators ⋮ Existence of solutions and convergence of iterative algorithms for a system of generalized nonlinear mixed quasi-variational inclusions ⋮ The \(p\)-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with \((H,\eta)\)-monotone operators ⋮ Three-step iterative algorithm for a system of set-valued variational inclusions with \((H,\eta )\)-monotone operators ⋮ An iterative method for generalized nonlinear set-valued mixed quasi-variational inequalities with \(H\)-monotone mappings ⋮ Existence of solutions and convergence of a multistep iterative algorithm for a system of variational inclusions with \((H,\eta )\)-accretive operators

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• Auxiliary principle and iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like inequalities
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