Convergence results for weak efficiency in vector optimization problems with equilibrium constraints

DOI10.1007/s10957-004-1860-xzbMath1125.90047OpenAlexW2162722038MaRDI QIDQ1780600

Cheng, T. C. Edwin, Yunan N. Wu

Publication date: 13 June 2005

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-004-1860-x

zbMATH Keywords

weak efficiencylower convergenceupper convergence

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Multi-objective and goal programming (90C29) Variational and other types of inequalities involving nonlinear operators (general) (47J20)

Related Items (6)

SENSITIVITY ANALYSIS OF WEAK EFFICIENCY IN MULTIPLE OBJECTIVE LINEAR PROGRAMMING ⋮ Nonconvex scalarization in set optimization with set-valued maps ⋮ Continuity and convexity of a nonlinear scalarizing function in set optimization problems with applications ⋮ Approximate values for mathematical programs with variational inequality constraints ⋮ On convergence results for weak efficiency in vector optimization problems with equilibrium constraints ⋮ Nonlinear scalarizing functions in set optimization problems

Cites Work

• Nonconvex separation theorems and some applications in vector optimization
• Solving nonlinear bilevel programming models of the equilibrium network design problem: A comparative review
• Stability results for Ekeland's \(\varepsilon\) variational principle for vector valued functions
• Multiobjective optimization problem with variational inequality constraints

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