Painlevé-Kuratowski convergences of the solution sets to perturbed generalized systems
From MaRDI portal
Publication:511186
DOI10.1007/s10255-012-0149-3zbMath1355.90099OpenAlexW2069761839MaRDI QIDQ511186
Publication date: 14 February 2017
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-012-0149-3
scalarizationgamma-convergencecontinuous convergencePainlevé-Kuratowski convergencegeneralized systemsperturbed
Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Perturbations of ordinary differential equations (34D10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)
Related Items
Stability of approximate solution mappings for generalized Ky Fan inequality ⋮ Painlevé-Kuratowski stability of approximate efficient solutions for perturbed semi-infinite vector optimization problems ⋮ Painlevé-Kuratowski convergence of minimal solutions for set-valued optimization problems via improvement sets ⋮ Well-posedness of generalized vector variational inequality problem via topological approach ⋮ Boundary value behaviors for solutions of the equilibrium equations with angular velocity ⋮ Unnamed Item ⋮ Painlevé-Kuratowski convergences of the solution sets for perturbed vector equilibrium problems without monotonicity ⋮ Painlevé–Kuratowski Convergence of Solutions for Perturbed Symmetric Set-Valued Quasi-Equilibrium Problem via Improvement Sets ⋮ Painlevé-Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems ⋮ Painlevé-Kuratowski stability of the solution sets to perturbed vector generalized systems ⋮ Convergence Analysis of Solution Sets for Minty Vector Quasivariational Inequality Problems in Banach Spaces ⋮ Convergence analysis of solution sets for fuzzy optimization problems ⋮ The stability and extended well-posedness of the solution sets for set optimization problems via the Painlevé-Kuratowski convergence ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
- Connectedness of the set of efficient solutions for generalized systems
- Lower semicontinuity of the set of efficient solutions for generalized systems
- Connectedness of the solution sets and scalarization for vector equilibrium problems
- Continuity of the solution set to parametric weak vector equilibrium problems
- Painlevé-Kuratowski convergences for the solution sets of set-valued weak vector variational inequalities
- Solution semicontinuity of parametric generalized vector equilibrium problems
- Generalized variational inequalities with pseudomonotone operators under perturbations
- Vector variational inequalities and vector equilibria. Mathematical theories
- On the existence and stability of approximate solutions of perturbed vector equilibrium problems
- On the stability of the solution sets of general multivalued vector quasiequilibrium problems
- Stability for parametric implicit vector equilibrium problems
- Vector optimization. Set-valued and variational analysis.
- Global stability results for the weak vector variational inequality
- A convergence for vector valued functions
- Variational Analysis
- Stability for convex vector optimization problems
- Stability in vector-valued and set-valued optimization
- Efficiency and Henig efficiency for vector equilibrium problems.
