Image space analysis for vector variational inequalities with matrix inequality constraints and applications

DOI10.1007/s10957-010-9691-4zbMath1213.90243OpenAlexW2093912593MaRDI QIDQ983716

Nan-Jing Huang, Jun Li

Publication date: 24 July 2010

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

Full work available at URL: https://doi.org/10.1007/s10957-010-9691-4

zbMATH Keywords

optimality conditionsmatrix inequalitiesvector variational inequalitiesimage space analysisgap functions

Mathematics Subject Classification ID

Semidefinite programming (90C22) Optimality conditions and duality in mathematical programming (90C46) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (14)

Semidefinite programming via image space analysis ⋮ Constrained extremum problems and image space analysis. I: Optimality conditions ⋮ Refinements on gap functions and optimality conditions for vector quasi-equilibrium problems via image space analysis ⋮ Image space analysis to Lagrange-type duality for constrained vector optimization problems with applications ⋮ Continuous and discrete zeroing dynamics models using JMP function array and design formula for solving time-varying Sylvester-transpose matrix inequality ⋮ Unified duality theory for constrained extremum problems. I: Image space analysis ⋮ Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria ⋮ Nonlinear separation functions and constrained extremum problems ⋮ A unified characterization of multiobjective robustness via separation ⋮ Vector variational-like inequalities with constraints: separation and alternative ⋮ Vector quasi-equilibrium problems: separation, saddle points and error bounds for the solution set ⋮ Nonlinear separation methods and applications for vector equilibrium problems using improvement sets ⋮ Characterizations of multiobjective robustness on vectorization counterparts ⋮ Vector-valued separation functions and constrained vector optimization problems: optimality and saddle points

Cites Work

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• Scalarization approaches for set-valued vector optimization problems and vector variational inequalities
• On regularity for constrained extremum problems. II: Necessary optimality conditions
• Image space analysis and scalarization of multivalued optimization
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• On the image space analysis for vector variational inequalities
• Theorems of the alternative and optimality conditions
• Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Semidefinite Programming
• Convex Analysis
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