Sensitivity analysis for parametric completely generalized nonlinear implicit quasivariational inclusions.

DOI10.1016/S0022-247X(02)00518-8zbMath1045.49009MaRDI QIDQ1869001

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

Publication date: 9 April 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

sensitivity analysisvariational inequalityresolvent operatormonotone mappingparametric generalized implicit quasivariational inclusion

Mathematics Subject Classification ID

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

Related Items (13)

Sensitivity analysis for a system of parametric generalized mixed quasi-variational inclusions involving \((K,\eta )\)-monotone mappings ⋮ Parametric general variational-like inequality problem in uniformly smooth Banach space ⋮ Auxiliary principle for generalized nonlinear variational-like inequalities ⋮ Unnamed Item ⋮ The solvability of a class of general nonlinear implicit variational inequalities based on perturbed three-step iterative processes with errors ⋮ Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces ⋮ Sensitivity analysis for parametric generalized implicit quasi-variational-like inclusions involving \(P\)-\(\eta\)-accretive mappings ⋮ Existence and iterative approximations of solutions for mixed quasi-variational-like inequalities in Banach spaces ⋮ Parametric completely generalized mixed implicit quasi-variational inclusions involving \(h\)-maxi\-mal monotone mappings ⋮ Sensitivity analysis for a system of generalized mixed implicit equilibrium problems in uniformly smooth Banach spaces ⋮ Sensitivity analysis for a system of parametric general quasi-variational-like inequality problems in uniformly smooth Banach spaces ⋮ Sensitivity analysis for parametric completely generalized strongly nonlinear implicit quasi-variational inclusions ⋮ Convergence and stability of three-step iterative scheme with errors for completely generalized strongly nonlinear quasivariational inequalities

Cites Work

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• On fixed point stability for set-valued contractive mappings with applications to generalized differential equations
• Sensitivity analysis of generalized variational inequalities
• On parametric generalized quasi-variational inequalities
• A new class of generalized strongly nonlinear quasivariational inequalities and quasicomplementarity problems
• Solution sensitivity of a class of variational inequalities
• Sensitivity analysis for strongly nonlinear quasi-variational inclusions
• Hölder continuity of solutions to a parametric variational inequality
• Perturbed algorithms and sensitivity analysis for a general class of variational inclusions
• Multi-valued contraction mappings
• Sensitivity Analysis for Variational Inequalities Defined on Polyhedral Sets
• Sensitivity Analysis in Variational Inequalities
• Sensitivity Analysis in Nonlinear Programs and Variational Inequalities via Continuous Selections

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