A generalized upper dini-directional derivation in vector optimization

DOI10.1080/02331939808844392zbMath0928.46028OpenAlexW2042737963MaRDI QIDQ4397400

Xiao Qi Yang

Publication date: 30 September 1998

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939808844392

zbMATH Keywords

optimality conditionchain rulesum formulacone-convex functionvector subdifferentiallocally Lipschitz vector-valued functionset-valued generalized upper Dini-directional derivative

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

Isolated minimizers and proper efficiency for \(C^{0,1}\) constrained vector optimization problems

Cites Work

• Theory of multiobjective optimization
• Subdifferentials of compactly Lipschitzian vector-valued functions
• Vector complementarity and minimal element problems
• An approach to vector subdifferentials
• A vector variational inequality and optimization over an efficient set
• Optimization and nonsmooth analysis
• Subgradients of convex operators
• On generalized differentials and subdifferentials of Lipschitz vector-valued functions
• A chain rule for nonsmooth composite functions via minimisation
• A hahn-banach theorem in ordered linear spaces and its applications

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