Parametric vector optimization

DOI10.1080/02331934.2013.845776zbMath1288.90100OpenAlexW1970875335MaRDI QIDQ5413868

Marcel Bogdan

Publication date: 2 May 2014

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2013.845776

zbMATH Keywords

vector optimizationweak efficient solutionscone-lower semi-continuity

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Multi-objective and goal programming (90C29) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Control problems involving ordinary differential equations (34H05)

Cites Work

• An existence result for maximizations with respect to cones
• Some regularities for parametric equilibrium problems
• Closedness of the solution map for parametric weak vector equilibrium problems
• Existence and convergence of Pareto minima
• Closedness and Hadamard well-posedness of the solution map for parametric vector equilibrium problems
• Convergence of the efficient sets
• Generalized semicontinuity and existence theorems for cone saddle points
• Approximate efficiency and scalar stationarity in unbounded nonsmooth convex vector optimization problems
• Topological pseudomonotonicity and vector equilibrium problems
• Scalarization and stability in vector optimization
• Stability and scalarization of weak efficient, efficient and Henig proper efficient sets using generalized quasiconvexities
• EXISTENCE AND DUALITY OF IMPLICIT VECTOR VARIATIONAL PROBLEMS^*
• A convergence for vector valued functions
• An Existence Theorem in Vector Optimization

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