On Lagrange Multiplier Rules for Set-Valued Optimization Problems in the Sense of Set Criterion

DOI10.1080/01630563.2019.1667828zbMath1433.90146OpenAlexW2975527909MaRDI QIDQ5222255

Abdessamad Oussarhan, Aïcha Syam, Tijani Amahroq

Publication date: 1 April 2020

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2019.1667828

zbMATH Keywords

optimality conditionsset-valued optimizationoriented distance functionKarush-Kuhn-Tucker multipliersFritz John multipliers

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Set-valued maps in general topology (54C60)

Related Items (3)

Lagrange multipliers in convex set optimization with the set and vector criteria ⋮ Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems ⋮ Existence of Lagrange multipliers for set optimization with application to vector equilibrium problems

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