Generalized weak subdifferentials

DOI10.1080/02331930903524670zbMath1230.26001OpenAlexW1983742072MaRDI QIDQ3093081

İlknur Atasever, Küçük, Mahide, Yalçın Küçük

Publication date: 12 October 2011

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930903524670

zbMATH Keywords

nonsmooth analysisnonconvex optimizationnonconvex analysisgeneralized lower Lipschitz functionsgeneralized weak subdifferentials

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonsmooth analysis (49J52) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24)

Related Items (5)

Calculus rules of generalized \(\epsilon\)-subdifferential for vector valued mappings and applications ⋮ Unnamed Item ⋮ On generalized \(\epsilon \)-subdifferential and radial epiderivative of set-valued mappings ⋮ A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization ⋮ Weak-subdifferentials for vector functions and applications to multiobjective semi-infinite optimization problems

Cites Work

• Unnamed Item
• Stability and duality of nonconvex problems via augmented Lagrangian
• Augmented Lagrangian duality and nondifferentiable optimization methods in nonconvex programming
• Support cones in Banach spaces and their applications
• Lagrange Multipliers and Optimality
• On Weak Subdifferentials, Directional Derivatives, and Radial Epiderivatives for Nonconvex Functions
• Continuity and Differentiability Properties of Convex Operators
• Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization
• A New Approach to Lagrange Multipliers
• Subdifferentiability of Convex Functions with Values in an Ordered Vector Space.
• Radial epiderivatives and set-valued optimization

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