Hadamard well-posedness and stability in set optimization

DOI10.1007/s11117-023-01026-zOpenAlexW4390789936WikidataQ130128059 ScholiaQ130128059MaRDI QIDQ6154444

Meenakshi Gupta, Manjari K. Srivastava

Publication date: 15 February 2024

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-023-01026-z

zbMATH Keywords

stabilityPainlevé-Kuratowski convergenceset optimizationHadamard well-posedness

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Programming in abstract spaces (90C48)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scalarization and pointwise well-posedness for set optimization problems
• Nonconvex separation theorems and some applications in vector optimization
• Refined necessary conditions in multiobjective optimization with applications to microeconomic modeling
• On the stability of solutions for semi-infinite vector optimization problems
• Well-posed optimization problems
• Well-posedness and scalarization in vector optimization
• Nonconvex scalarization in set optimization with set-valued maps
• Well-posedness for set optimization problems
• Variational methods in partially ordered spaces
• Continuity and convexity of a nonlinear scalarizing function in set optimization problems with applications
• Pointwise and global well-posedness in set optimization: a direct approach
• Hadamard well-posedness for a set-valued optimization problem
• Connectedness of solution sets for weak generalized symmetric Ky Fan inequality problems via addition-invariant sets
• Scalarization of Levitin-Polyak well-posedness in vector optimization using weak efficiency
• On Levitin-Polyak well-posedness and stability in set optimization
• Hadamard well-posed vector optimization problems
• The stability and extended well-posedness of the solution sets for set optimization problems via the Painlevé-Kuratowski convergence
• Levitin-Polyak well-posedness for set optimization problems involving set order relations
• Well-posedness and scalarization in set optimization involving ordering cones with possibly empty interior
• Set Optimization—A Rather Short Introduction
• Well-posedness and stability of solutions for set optimization problems
• Variational Analysis
• Approximate solutions and scalarization in set-valued optimization
• External and internal stability in set optimization
• Stability results for properly quasi convex vector optimization problems
• Set-valued Optimization
• On the stability of the functional optimization problem
• Global Well-Posedness in Set Optimization
• Set-valued analysis
• Painlevé-Kuratowski convergence of minimal solutions for set-valued optimization problems via improvement sets