Sensitivity analysis of parametric weak vector equilibrium problems
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Publication:534756
DOI10.1016/j.jmaa.2011.03.026zbMath1216.49022OpenAlexW2088167054MaRDI QIDQ534756
Publication date: 10 May 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.026
sensitivity analysiscontingent derivativegap functionimplicit multifunction theoremparametric weak vector equilibrium problem
Related Items (10)
Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations ⋮ Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization ⋮ On sensitivity analysis of parametric set-valued equilibrium problems under the weak efficiency ⋮ Sensitivity analysis for a Lagrange dual problem to a vector optimization problem ⋮ Robinson metric regularity of parametric variational systems ⋮ Stability and sensitivity analysis of solutions to weak vector variational inequalities ⋮ \(S\)-derivative of perturbed mapping and solution mapping for parametric vector equilibrium problems ⋮ Second-order composed contingent derivatives of perturbation maps in set-valued optimization ⋮ Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization ⋮ Higher-order generalized tangent epiderivatives and applications to set-valued optimization
Cites Work
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- Generalized vector equilibrium problems in generalized convex spaces
- Generalized vector equilibrium problems for pseudomonotone multivalued bifunctions
- Second-order differential and sensitivity properties of weak vector variational inequalities
- Lower semicontinuity of the set of efficient solutions for generalized systems
- Continuity of the solution set to parametric weak vector equilibrium problems
- Robinson's implicit function theorem and its extensions
- Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions
- Semicontinuity of solution mappings of parametric generalized vector equilibrium problems
- Sensitivity results for a general class of generalized vector quasi-equilibrium problems with set-valued maps
- Solution semicontinuity of parametric generalized vector equilibrium problems
- Sensitivity analysis in multiobjective optimization
- Proto-differentiability of set-valued mappings and its applications in optimization
- Contingent derivative of the perturbation map in multiobjective optimization
- Sensitivity analysis for nonsmooth generalized equations
- Sensitivity analysis in convex vector optimization
- Differential and sensitivity properties of gap functions for vector variational inequalities
- Vector variational inequalities and vector equilibria. Mathematical theories
- Implicit multifunction theorems for the sensitivity analysis of variational conditions
- Sensitivity analysis in vector optimization
- Differential and sensitivity properties of gap functions for Minty vector variational inequalities
- Vector optimization. Set-valued and variational analysis.
- Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
- A nonlinear scalarization function and generalized quasi-vector equilibrium problems
- Generalized vector quasi-equilibrium problems
- SENSITIVITY ANALYSIS FOR A CLASS OF IMPLICIT MULTIFUNCTIONS WITH APPLICATIONS
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
- Generalized equations and their solutions, Part I: Basic theory
- Variational Analysis
- Set-valued analysis
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