Existence of \(\varepsilon\)-minima for vector optimization problems

DOI10.1023/A:1017576007648zbMath1068.90594OpenAlexW1563948356MaRDI QIDQ5945075

Kaleem Raza Kazmi

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1023/a:1017576007648

zbMATH Keywords

vector optimization problemsvector variational inequalities\(\varepsilon\)-directional derivatives\(\varepsilon\)-generalized minima

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

Related Items (5)

On a practical notion of Geoffrion proper optimality in multicriteria optimization ⋮ Cone characterizations of approximate solutions in real vector optimization ⋮ Vector variational inequalities with cone-pseudomonotone bifunctions ⋮ Duality for \(\varepsilon \)-variational inequality ⋮ ε-Conjugate maps andε-conjugate duality in vector optimization with set-valued maps

Cites Work

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• A fixed point theorem equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorem
• Existence of solutions for vector optimization problems
• Existence and continuity of solutions for vector optimization
• Some remarks on vector optimization problems
• The fixed point theory of multi-valued mappings in topological vector spaces
• Stability and Sensitivity Analysis in Convex Vector Optimization
• On Approximate Solutions in Convex Vector Optimization

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