Sensitivity analysis for a new system of generalized nonlinear mixed quasi-variational inclusions.

DOI10.1016/S0893-9659(04)90073-0zbMath1056.49008OpenAlexW2003167208MaRDI QIDQ1764516

Ravi P. Agarwal, Man-Yi Tan, Nan-Jing Huang

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(04)90073-0

zbMATH Keywords

sensitivity analysisHilbert spacesolutionquasi-variational inequalitiesnonlinear mappingsystem of mixed quasi-variational inclusions

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31)

Related Items (40)

Parallel algorithms for variational inclusions and fixed points with applications ⋮ System of generalized resolvent equations with corresponding system of variational inclusions ⋮ Novel algorithms for solving a system of absolute value variational inequalities ⋮ System of generalized variational inclusions with \(H\)-accretive operators in uniformly smooth Banach spaces ⋮ Sensitivity analysis for a system of parametric generalized mixed quasi-variational inclusions involving \((K,\eta )\)-monotone mappings ⋮ Cayley inclusion problem with its corresponding generalized resolvent equation problem in uniformly smooth Banach spaces ⋮ A new system of generalized mixed quasi-variational inclusions with \((H,\eta )\)-monotone operators ⋮ The solution existence of general variational inclusion problems ⋮ Existence of solutions and convergence analysis for a system of quasivariational inclusions in Banach spaces ⋮ Solution sensitivity of generalized nonlinear parametric \((A, \eta, m)\)-proximal operator system of equations in Hilbert spaces ⋮ Iterative algorithm with mixed errors for solving a new system of generalized nonlinear variational-like inclusions and fixed point problems in Banach spaces ⋮ Sensitivity analysis for generalized nonlinear parametric \((A,\eta ,m)\)-maximal monotone operator inclusion systems with relaxed cocoercive type operators ⋮ Solvability and iterative algorithms for a system of generalized nonlinear mixed quasivariational inclusions with \((H_i,{\eta}_i)\)-monotone operators ⋮ 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 ⋮ New perturbed finite step iterative algorithms for a system of extended generalized nonlinear mixed quasi-variational inclusions ⋮ Algorithms for general system of generalized resolvent equations with corresponding system of variational inclusions ⋮ Sensitivity analysis for a system of generalized nonlinear mixed quasi variational inclusions with \(H\)-monotone operators ⋮ A new system of generalized mixed quasivariational inclusions with relaxed cocoercive operators and applications ⋮ Existence of solutions and convergence of iterative algorithms for a system of generalized nonlinear mixed quasi-variational inclusions ⋮ Nonlinear parametric multi-valued variational inclusion systems involving \((A,\eta )\)-accretive mappings in Banach spaces ⋮ 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 ⋮ The \(p\)-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with \((A,\eta )\)-accretive operators in \(q\)-uniformly smooth Banach spaces ⋮ Sensitivity analysis for a system of generalized nonlinear mixed quasi-variational inclusions in \(q\)-uniformly smooth Banach spaces ⋮ Systems of set-valued quasivariational inclusion problems ⋮ On the stability of the solution sets of general multivalued vector quasiequilibrium problems ⋮ On a new system of generalized mixed quasi-variational-like inclusions with \((H,\eta )\)-accretive operators in real \(q\)-uniformly smooth Banach spaces ⋮ Existence of solutions and convergence of a multistep iterative algorithm for a system of variational inclusions with \((H,\eta )\)-accretive operators ⋮ Penalty methods for a system of constrained variational inequalities ⋮ A new system of nonlinear fuzzy variational inclusions involving \((A,\eta )\)-accretive mappings in uniformly smooth Banach spaces ⋮ The penalty method for a new system of generalized variational inequalities ⋮ A new system of generalized nonlinear mixed variational inclusions in Banach spaces ⋮ A system of variational inclusions with \(P\)-\(\eta \)-accretive operators ⋮ A new system of generalized nonlinear relaxed cocoercive variational inequalities ⋮ A hybrid proximal point three-step algorithm for nonlinear set-valued quasi-variational inclusions system involving \((A,\eta )\)-accretive mappings ⋮ A new system of generalized quasi-variational-like inclusion in Hilbert spaces ⋮ On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems ⋮ Sensitivity analysis for a system of generalized mixed implicit equilibrium problems in uniformly smooth Banach spaces ⋮ A new system of variational inclusions with (H, η)-monotone operators ⋮ On the existence of solutions to quasivariational inclusion problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Sensitivity analysis of generalized variational inequalities
• Sensitivity analysis for quasi-variational inclusions
• Sensitivity analysis for quasi-variational inequalities
• Sensitivity analysis for strongly nonlinear quasi-variational inclusions
• Generalized nonlinear mixed quasi-variational inequalities
• Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi-variational inclusions
• Sensitivity Analysis in Variational Inequalities
• Generalized Nonlinear Implicit Quasivariational Inclusion and an Application to Implicit Variational Inequalities
• Nonlinear Variational and Constrained Hemivariational Inequalities Involving Relaxed Operators
• Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint
• Auxiliary principle and iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like inequalities
• Projection methods, algorithms, and a new system of nonlinear variational inequalities

This page was built for publication: Sensitivity analysis for a new system of generalized nonlinear mixed quasi-variational inclusions.