Constrained extremum problems with infinite-dimensional image: Selection and necessary conditions

DOI10.1007/s10957-007-9213-1zbMath1126.49005OpenAlexW2017386706MaRDI QIDQ2465453

Yanyan Li

Publication date: 4 January 2008

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

Full work available at URL: https://doi.org/10.1007/s10957-007-9213-1

zbMATH Keywords

MultipliersOptimality conditionsImage space analysisQuasimultipliers

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37)

Related Items

Constrained extremum problems and image space analysis. I: Optimality conditions, Constrained extremum problems, regularity conditions and image space analysis. II: The vector finite-dimensional case, Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria, State-constrained optimal control of nonlinear elliptic variational inequalities, Constrained extremum problems with infinite dimensional image. Selection and saddle point, A new nonlinear scalarization function and applications, Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints, On regularity for constrained extremum problems. II: Necessary optimality conditions

Cites Work

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• Theorems of the alternative for multifunctions with applications to optimization: General results
• A multifunction approach to extremum problems having infinite-dimensional images. Necessary conditions for unilateral constraints
• Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions