Levitin–Polyak well-posedness of symmetric vector quasi-equilibrium problems

DOI10.1080/02331934.2014.886037zbMath1337.49043OpenAlexW2148341213MaRDI QIDQ2808304

Yu Han, Xun-Hua Gong

Publication date: 23 May 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2014.886037

zbMATH Keywords

closed graphLevitin-Polyak well-posednesssymmetric strong vector quasi-equilibrium problemsapproximating solution mappingsymmetric weak vector quasi-equilibrium problems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60)

Related Items (6)

Metric characterizations for well-posedness of split hemivariational inequalities ⋮ Generalized well-posedness for symmetric vector quasi-equilibrium problems ⋮ Well-posedness for bilevel vector equilibrium problems with variable domination structures ⋮ On scalarization and well-posedness in set optimization with a partial set order relation ⋮ Existence and well-posedness for excess demand equilibrium problems ⋮ Well-posedness and stability of solutions for set optimization problems

Cites Work

• Levitin-Polyak well-posedness of a generalized mixed variational inequality in Banach spaces
• Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems with functional constraints
• Well-posedness for convex symmetric vector quasi-equilibrium problems
• Levitin-Polyak well-posedness of variational inequality problems with functional constraints
• The stability of set of solutions for symmetric vector quasi-equilibrium problems
• Levitin-Polyak well-posedness in generalized vector variational inequality problem with functional constraints
• Levitin-Polyak well-posedness of constrained vector optimization problems
• Levitin-Polyak well-posedness of generalized quasivariational inequalities with functional constraints
• Symmetric strong vector quasi-equilibrium problems
• Levitin-polyak well-posedness of vector equilibrium problems
• Metric characterizations of \(\alpha \)-well-posedness for symmetric quasi-equilibrium problems
• Variational methods in partially ordered spaces
• Symmetric vector quasi-equilibrium problems
• Constrained convex optimization problems-well-posedness and stability^*
• On the stability of the functional optimization problem

This page was built for publication: Levitin–Polyak well-posedness of symmetric vector quasi-equilibrium problems